From 4d46886f4bf8b7a66511e72af1665f753759a453 Mon Sep 17 00:00:00 2001 From: Uwe Schmitt <uwe.schmitt@id.ethz.ch> Date: Fri, 11 Aug 2023 16:53:29 +0200 Subject: [PATCH] added image credits prior to publication --- script/00_numpy_pandas_matplotlib_intro.ipynb | 6 +- script/01_introduction.ipynb | 10 +- script/02_classification.ipynb | 11 +- .../03_overfitting_and_cross_validation.ipynb | 14 +- ...04_measuring_quality_of_a_classifier.ipynb | 10 +- ...ines_and_hyperparameter_optimization.ipynb | 4 +- script/06_classifiers_overview-part_1.ipynb | 9 +- script/06_classifiers_overview-part_2.ipynb | 6 +- script/07_regression.ipynb | 8 +- script/08_a-neural_networks.ipynb | 24 +- script/08_b-neural_networks.ipynb | 6 +- script/08_c-neural_networks.ipynb | 6 +- script/08_d-neural_networks.ipynb | 6 +- script/08_e-neural_networks.ipynb | 23 +- script/Regularization.ipynb | 597 ++++++++++++++++++ script/images/7vge4m.jpg | Bin 0 -> 93216 bytes script/images/neuralnets/neural_net.jpeg | Bin 0 -> 41510 bytes script/images/neuralnets/neural_net2.jpeg | Bin 0 -> 68873 bytes 18 files changed, 675 insertions(+), 65 deletions(-) create mode 100644 script/Regularization.ipynb create mode 100644 script/images/7vge4m.jpg create mode 100644 script/images/neuralnets/neural_net.jpeg create mode 100644 script/images/neuralnets/neural_net2.jpeg diff --git a/script/00_numpy_pandas_matplotlib_intro.ipynb b/script/00_numpy_pandas_matplotlib_intro.ipynb index 978b393..aea847f 100644 --- a/script/00_numpy_pandas_matplotlib_intro.ipynb +++ b/script/00_numpy_pandas_matplotlib_intro.ipynb @@ -803,9 +803,9 @@ ], "metadata": { "kernelspec": { - "display_name": "machine-learning-ws-2023", + "display_name": "Python 3 (ipykernel)", "language": "python", - "name": "machine-learning-ws-2023" + "name": "python3" }, "language_info": { "codemirror_mode": { @@ -817,7 +817,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.4" + "version": "3.10.10" } }, "nbformat": 4, diff --git a/script/01_introduction.ipynb b/script/01_introduction.ipynb index fb1db35..3462e88 100644 --- a/script/01_introduction.ipynb +++ b/script/01_introduction.ipynb @@ -630,7 +630,9 @@ "source": [ "# Hands-on section\n", "\n", - "<img src=\"./images/303yin.jpg\" width=35%/>" + "\n", + "\n", + "<a href='https://imgflip.com/i/303yin'><img src=\"./images/303yin.jpg\" width=35%/></a><br/><a href='https://imgflip.com/gif-maker'> via Imgflip GIF Maker</a> " ] }, { @@ -1162,9 +1164,9 @@ ], "metadata": { "kernelspec": { - "display_name": "machine-learning-ws-2023", + "display_name": "Python 3 (ipykernel)", "language": "python", - "name": "machine-learning-ws-2023" + "name": "python3" }, "language_info": { "codemirror_mode": { @@ -1176,7 +1178,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.4" + "version": "3.10.10" } }, "nbformat": 4, diff --git a/script/02_classification.ipynb b/script/02_classification.ipynb index 374eec6..b957ce1 100644 --- a/script/02_classification.ipynb +++ b/script/02_classification.ipynb @@ -280,7 +280,8 @@ "</p>\n", "</div>\n", "\n", - "<img src=\"./images/303vuc.jpg\" width=50%/>" + "\n", + "<a href='https://imgflip.com/i/303vuc'><img src=\"./images/303vuc.jpg\" width=50%/></a><br/><a href='https://imgflip.com/gif-maker'> via Imgflip GIF Maker</a> " ] }, { @@ -603,7 +604,7 @@ "\n", "This is actually the opposite of \"garbage in / garbage out\".\n", "\n", - "<img src=\"./images/303whl.jpg\" width=50% title=\"made at imgflip.com\"/>\n", + "<a href='https://imgflip.com/i/303whl'><img src=\"./images/303whl.jpg\" width=50%/></a><br/><a href='https://imgflip.com/gif-maker'> via Imgflip GIF Maker</a> \n", "\n", "The general idea is to include / extract usefull information based on domain knowledge. \n", "\n", @@ -1195,9 +1196,9 @@ ], "metadata": { "kernelspec": { - "display_name": "machine-learning-ws-2023", + "display_name": "Python 3 (ipykernel)", "language": "python", - "name": "machine-learning-ws-2023" + "name": "python3" }, "language_info": { "codemirror_mode": { @@ -1209,7 +1210,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.4" + "version": "3.10.10" } }, "nbformat": 4, diff --git a/script/03_overfitting_and_cross_validation.ipynb b/script/03_overfitting_and_cross_validation.ipynb index 991e568..81ad20f 100644 --- a/script/03_overfitting_and_cross_validation.ipynb +++ b/script/03_overfitting_and_cross_validation.ipynb @@ -128,8 +128,8 @@ "\n", "We observed a phenomenon called **\"overfitting\"**.\n", "\n", - "\n", - "<img src=\"./images/2qky90.jpg\" width=30% />" + "<a href='https://imgflip.com/i/2qky90'><img src=\"./images/2qky90.jpg\" width=30%/></a><br/><a href='https://imgflip.com/gif-maker'> via Imgflip GIF Maker</a> \n", + "\n" ] }, { @@ -443,7 +443,9 @@ "\n", "K-fold cross-validation has an advantage that we do not leave out part of our data from training. This is useful when we do not have a lot of data.\n", "\n", - "<img src=\"./images/305azk.jpg\" title=\"made at imgflip.com\" width=40%/>\n", + "\n", + "<a href='https://imgflip.com/i/305azk'><img src=\"./images/305azk.jpg\" width=40%/></a><br/><a href='https://imgflip.com/gif-maker'> via Imgflip GIF Maker</a> \n", + "\n", "\n", "### Example: 4-fold cross validation\n", "\n", @@ -1469,9 +1471,9 @@ ], "metadata": { "kernelspec": { - "display_name": "machine-learning-ws-2023", + "display_name": "Python 3 (ipykernel)", "language": "python", - "name": "machine-learning-ws-2023" + "name": "python3" }, "language_info": { "codemirror_mode": { @@ -1483,7 +1485,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.4" + "version": "3.10.10" } }, "nbformat": 4, diff --git a/script/04_measuring_quality_of_a_classifier.ipynb b/script/04_measuring_quality_of_a_classifier.ipynb index d77bf2c..f77d151 100644 --- a/script/04_measuring_quality_of_a_classifier.ipynb +++ b/script/04_measuring_quality_of_a_classifier.ipynb @@ -130,7 +130,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "<img src=\"./images/305c8j.jpg\" title=\"made at imgflip.com\" width=40%/>" + "<a href='https://imgflip.com/i/305c8j'><img src=\"./images/305c8j.jpg\" width=40%/></a><br/><a href='https://imgflip.com/gif-maker'> via Imgflip GIF Maker</a> \n" ] }, { @@ -194,7 +194,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "<img src=\"./images/303wyp.jpg\" title=\"made at imgflip.com\" width=50%/>" + "<a href='https://imgflip.com/i/303wyp'><img src=\"./images/303wyp.jpg\" width=50%/></a><br/><a href='https://imgflip.com/gif-maker'> via Imgflip GIF Maker</a> \n" ] }, { @@ -840,9 +840,9 @@ ], "metadata": { "kernelspec": { - "display_name": "machine-learning-ws-2023", + "display_name": "Python 3 (ipykernel)", "language": "python", - "name": "machine-learning-ws-2023" + "name": "python3" }, "language_info": { "codemirror_mode": { @@ -854,7 +854,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.4" + "version": "3.10.10" } }, "nbformat": 4, diff --git a/script/05_preprocessing_pipelines_and_hyperparameter_optimization.ipynb b/script/05_preprocessing_pipelines_and_hyperparameter_optimization.ipynb index b3f8548..41a59cd 100644 --- a/script/05_preprocessing_pipelines_and_hyperparameter_optimization.ipynb +++ b/script/05_preprocessing_pipelines_and_hyperparameter_optimization.ipynb @@ -313,7 +313,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "<img src=\"./images/2xi5wt.jpg\" width=50%/>" + "<a href='https://imgflip.com/i/2xi5wt'><img src=\"./images/2xi5wt.jpg\" width=50%/></a><br/><a href='https://imgflip.com/gif-maker'> via Imgflip GIF Maker</a> " ] }, { @@ -1415,7 +1415,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.9" + "version": "3.10.10" } }, "nbformat": 4, diff --git a/script/06_classifiers_overview-part_1.ipynb b/script/06_classifiers_overview-part_1.ipynb index fa9a879..929f4ce 100644 --- a/script/06_classifiers_overview-part_1.ipynb +++ b/script/06_classifiers_overview-part_1.ipynb @@ -1117,10 +1117,11 @@ "\n", "\n", "<table>\n", - " <tr><td><img src=\"./images/rock_driving-kernel_trick.jpg\" width=400px></td></tr>\n", + " <tr><td><a href='https://imgflip.com/i/7vge4m'><img src=\"./images/7vge4m.jpg\" width=100%/></a><br/><a href='https://imgflip.com/gif-maker'> via Imgflip GIF Maker</a> </td></tr>\n", "</table>\n", "\n", "\n", + "\n", "<div class=\"alert alert-block alert-info\">\n", "<p><i class=\"fa fa-info-circle\"></i> \n", "A mapping to higher dimensions $\\phi(x)$ is costly to compute and store for the whole dataset. However, linear SVM just needs to know values of sums of mulitplied feature values between data sample and support vectors, called <em>dot-product</em>. Hence, kernel SVM does the <strong>kernel trick</strong> by using a pre-selected kernel function and by assuming $K(x^1, x^2) = \\phi(x^1)\\cdot\\phi(x^2)$, i.e. such that it gives values as if the similarity between samples $x^1$ and $x^2$ was computed after the mapping, but without actual mapping.\n", @@ -1511,9 +1512,9 @@ ], "metadata": { "kernelspec": { - "display_name": "machine-learning-ws-2023", + "display_name": "Python 3 (ipykernel)", "language": "python", - "name": "machine-learning-ws-2023" + "name": "python3" }, "language_info": { "codemirror_mode": { @@ -1525,7 +1526,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.5" + "version": "3.10.10" } }, "nbformat": 4, diff --git a/script/06_classifiers_overview-part_2.ipynb b/script/06_classifiers_overview-part_2.ipynb index c0736e3..4a0b5e1 100644 --- a/script/06_classifiers_overview-part_2.ipynb +++ b/script/06_classifiers_overview-part_2.ipynb @@ -1029,9 +1029,9 @@ ], "metadata": { "kernelspec": { - "display_name": "machine-learning-ws-2023", + "display_name": "Python 3 (ipykernel)", "language": "python", - "name": "machine-learning-ws-2023" + "name": "python3" }, "language_info": { "codemirror_mode": { @@ -1043,7 +1043,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.4" + "version": "3.10.10" } }, "nbformat": 4, diff --git a/script/07_regression.ipynb b/script/07_regression.ipynb index 8ea4b19..6626141 100644 --- a/script/07_regression.ipynb +++ b/script/07_regression.ipynb @@ -36,7 +36,7 @@ "in contrast to classification which predicts categories.\n", "</div>\n", "\n", - "<img src=\"./images/30416v.jpg\" title=\"made at imgflip.com\" width=35%/>\n", + "<a href='https://imgflip.com/i/30416v'><img src=\"./images/30416v.jpg\" width=35%/></a><br/><a href='https://imgflip.com/gif-maker'> via Imgflip GIF Maker</a> \n", "\n", "<div class=\"alert alert-block alert-warning\">\n", "<i class=\"fa fa-info-circle\"></i> \n", @@ -855,9 +855,9 @@ ], "metadata": { "kernelspec": { - "display_name": "machine-learning-ws-2023", + "display_name": "Python 3 (ipykernel)", "language": "python", - "name": "machine-learning-ws-2023" + "name": "python3" }, "language_info": { "codemirror_mode": { @@ -869,7 +869,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.4" + "version": "3.10.10" } }, "nbformat": 4, diff --git a/script/08_a-neural_networks.ipynb b/script/08_a-neural_networks.ipynb index 30a3238..4416210 100644 --- a/script/08_a-neural_networks.ipynb +++ b/script/08_a-neural_networks.ipynb @@ -44,7 +44,8 @@ "\n", "\n", "\n", - "<img src=\"./images/3042en.jpg\" title=\"made at imgflip.com\" width=35%/>\n" + "<a href='https://imgflip.com/i/3042en'><img src=\"./images/3042en.jpg\" width=35%/></a><br/><a href='https://imgflip.com/gif-maker'> via Imgflip GIF Maker</a> \n", + "\n" ] }, { @@ -87,12 +88,15 @@ "metadata": {}, "source": [ "## Feed-Forward neural network\n", - "<center>\n", - "<figure>\n", - "<img src=\"./images/neuralnets/neural_net_ex.svg\" width=\"700\"/>\n", - "<figcaption>A <b>three layer</b> densely connected Neural Network (By convention the input layer is not counted).</figcaption>\n", - "</figure>\n", - "</center>" + "\n", + "\n", + "<table>\n", + " <tr><td><figure><img src=\"./images/neuralnets/neural_net2.jpeg\" width=\"700\"/>\n", + " <figcaption>A <b>three layer</b> densely connected Neural Network (By convention the input layer is not counted).</figcaption>\n", + " </figure>\n", + " </td></tr>\n", + " <tr><td><center><sub>Source: <a href=\"https://cs231n.github.io/neural-networks-1/\">https://cs231n.github.io/neural-networks-1/</a></sub></center></td></tr>\n", + "</table>" ] }, { @@ -732,9 +736,9 @@ ], "metadata": { "kernelspec": { - "display_name": "machine-learning-ws-2023", + "display_name": "Python 3 (ipykernel)", "language": "python", - "name": "machine-learning-ws-2023" + "name": "python3" }, "language_info": { "codemirror_mode": { @@ -746,7 +750,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.4" + "version": "3.10.10" }, "latex_envs": { "LaTeX_envs_menu_present": true, diff --git a/script/08_b-neural_networks.ipynb b/script/08_b-neural_networks.ipynb index 27a8d04..fc7bdc1 100644 --- a/script/08_b-neural_networks.ipynb +++ b/script/08_b-neural_networks.ipynb @@ -1339,9 +1339,9 @@ ], "metadata": { "kernelspec": { - "display_name": "machine-learning-ws-2023", + "display_name": "Python 3 (ipykernel)", "language": "python", - "name": "machine-learning-ws-2023" + "name": "python3" }, "language_info": { "codemirror_mode": { @@ -1353,7 +1353,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.4" + "version": "3.10.10" }, "latex_envs": { "LaTeX_envs_menu_present": true, diff --git a/script/08_c-neural_networks.ipynb b/script/08_c-neural_networks.ipynb index 0453412..bdc1373 100644 --- a/script/08_c-neural_networks.ipynb +++ b/script/08_c-neural_networks.ipynb @@ -604,9 +604,9 @@ ], "metadata": { "kernelspec": { - "display_name": "machine-learning-ws-2023", + "display_name": "Python 3 (ipykernel)", "language": "python", - "name": "machine-learning-ws-2023" + "name": "python3" }, "language_info": { "codemirror_mode": { @@ -618,7 +618,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.4" + "version": "3.10.10" }, "latex_envs": { "LaTeX_envs_menu_present": true, diff --git a/script/08_d-neural_networks.ipynb b/script/08_d-neural_networks.ipynb index a8cccc4..0aa4a11 100644 --- a/script/08_d-neural_networks.ipynb +++ b/script/08_d-neural_networks.ipynb @@ -465,9 +465,9 @@ ], "metadata": { "kernelspec": { - "display_name": "machine-learning-ws-2023", + "display_name": "Python 3 (ipykernel)", "language": "python", - "name": "machine-learning-ws-2023" + "name": "python3" }, "language_info": { "codemirror_mode": { @@ -479,7 +479,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.4" + "version": "3.10.10" } }, "nbformat": 4, diff --git a/script/08_e-neural_networks.ipynb b/script/08_e-neural_networks.ipynb index 96bf6a9..c49533f 100644 --- a/script/08_e-neural_networks.ipynb +++ b/script/08_e-neural_networks.ipynb @@ -787,13 +787,16 @@ "Transformers are models based on an encoder-decoder architecture and mainly using the attention.\n", "\n", "<center>\n", - "<figure>\n", - "<img src=\"./images/neuralnets/transformer.png\" width=\"400\"/>\n", - "<figcaption>Transformer architecture</figcaption>\n", - "</figure>\n", - "</center>\n", - "\n", - "[Attention is all you need](https://arxiv.org/abs/1706.03762)" + "<table>\n", + " <tr><td>\n", + " <figure>\n", + " <img src=\"./images/neuralnets/transformer.png\" width=\"400\"/>\n", + " <figcaption>Transformer architecture</figcaption>\n", + " </figure>\n", + " </td></tr>\n", + " <tr><td><center><sub>Source: <a href=\"https://arxiv.org/abs/1706.03762/\">\"Attention is all you need\": https://arxiv.org/abs/1706.03762/</a></sub></center></td></tr>\n", + "</table>\n", + "</center>ce" ] }, { @@ -822,9 +825,9 @@ ], "metadata": { "kernelspec": { - "display_name": "machine-learning-ws-2023", + "display_name": "Python 3 (ipykernel)", "language": "python", - "name": "machine-learning-ws-2023" + "name": "python3" }, "language_info": { "codemirror_mode": { @@ -836,7 +839,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.4" + "version": "3.10.10" } }, "nbformat": 4, diff --git a/script/Regularization.ipynb b/script/Regularization.ipynb new file mode 100644 index 0000000..13ebdbc --- /dev/null +++ b/script/Regularization.ipynb @@ -0,0 +1,597 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "e77e86e9-8cb2-4291-9f64-e4c043aa3f1d", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "e5db92c4-3606-484f-9a9c-0cb88b772b72", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "A = np.loadtxt(\"A_matrix.txt\")" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "da9d8923-5257-405c-bf80-adae904160ce", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(200, 3317)" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "A.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "6843e0ee-3715-443a-8635-e68bb519a458", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.image.AxesImage at 0x1225da5c0>" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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qXLinBhyZDkiIryDrhWNlMxEne5yH43GiAwUHLB2agEozTYPcTFtCvzFuXbg5T17QIt+HhlMazp+Fgbnic+LUeA+RarODA6uiX3lFIHbl4ewy+vUdx8V24fXvHLLqgORXoVP1NA2YNeFSdXhGRnlkOisNkPN9eVe+h5iPdghHWB3rTX4Hw+nIVItvzntqHLdMNR3buB9g/J0GSFDvOtdGIT6xESxvIlIU/p7QNqFmEUdPBylSW5joiEC8zu2mMFOYCf/Ed6yHwVLC5R5zz8NJchOI0PHoLlgXzo9ZwyEC0NTQYHUPtjFl6bj8jg8XnqtrOYAZ3Hjcsy968Tlz4Zw2jOgWdJ7tYLQz4ug3fbw/H+/kwq6sTHnoCm5EEUgUSim0L0wfOLyhoHNXzlE70Gbl/NBnOgfSZcyxmddiiiUc+n04IOmQHpmm7PsIimI8ZIlzJJI6RaBltBtMbcnYrFxqDkEBP9H5Xm8Nyy1trbgQEop1CwB4mLh5etx3IKveYi6mjV10pN4jFSSPU9mYGm8Jp8wBP2s4f3xWqHPebh3J2BtkDbuYnwXP0cIpKJgw7MJ6HfZiT8cNznnOfUVrjPOQLoEwbRDUsFkQMCA7h1NT9jC+HDGLzc5xACot6EeeS/L/jZ/ve9q1cgo3v6+Ue54/nz3/LHR6vTl8Ycrr4rqJ6Of3PRztcLz81Ji62jz/Dzp+KA4KAHzjG9/AX/7Lfxn/8X/8H+N/+B/+B/zpP/2n8fj4iH/n3/l3Pvc5ZN+LS+E78jESCpQOzPdbI0zoH9MYRG9EAeS61/eYz1XmMN+sseHy/+A8poMS8CEAYG9cWBkhJZQPbDx5QXuKjTbRj1x86aC4jEkj4O8ngxw69Flo7BpRm5yser1CJquJ7XtDe+ZE0sc2Ive81m4TZZ8aJ/B2IwtHDi0iwA7mW286nb7gVshJ0R5pxNBoaBLVoXGjI6PH4J6UwUwHhSkoAGiPsdh3xkgyIrR6znxX8Y4y4s+Ii9fkdyrFd9Uh1yuf40nRHjaRxlVnlJTcDgB+vTKvuud4y4GfSU6TzzRessRYrXyOdh9RZ6Zs8p5XpSPRYtJE2iDfBQ2TkXdyakQvGvO/GUnZ7VoOab3DLkSkAjWQHVOEepRyYtoTUaPaLDc8Go20TMHFwBjXMDLYG5Z3vVJLmZ6SqxXtZiXUnYYpNmWZjf6zhPOYflin02HGjcld+G9xqATHKX5mLnAbKJojnI9TQ3fB3DomNTQxTDoQkNUUHVJICgBkguniZ5/x+xwCkQg2TGBdLp/PMTa8ZXyvd2Xg8aTlFOiZm2p7JB8tHW25IbLCCHQ4JbqG8wEUwqoLz6Nnflbie4lY5BrNwKC4KHsjP22J8xkwPfL3GSF7I9qRjnal7q46fTF1tBNqHfqeKHRyRnThOvd98JwmD7sbdmOis7LeWDn32zkoJ6YQ8WYN+6rhXHBNyzXHaX6vtD8G/j5SoUSyrTZTPQ7H3BvTVtODDkTTJRw4jptYoM6KQq7KabhwULy4LIlet1Gngflh8710TAWwW9qUvg9OTyJN6dCJXzooq0Am0gHkqEFP8EIvD19+Jn/nWS8RFmyckTk+D9SOLkeN9JgNpKwxCJNw6mQbREUgXIdLjb8EQqwnznMP++YNg+sZDl3ZuXjncrXSFjXuq+3pd+ag/NA4KP/Gv/Fv4Ld/+7fx7/17/x6+9a1v4V/5V/4V/PIv//KniLPf7/CuzH91KQ/WdxZRPuBTDNJC+NN2zAkL5MJ4+JHpIRpZ5uoqLwjQI97kLO2WA96+MxP+2vdyZHJBE54TYG3hXQLLW6MnC0bsFUl1CT4IP4eVG4yfaKw9iGQeUbE/a6AVQD9Ow1AAwM6w3nGTymhEzrwvfVZYwPz5WQB00p4aXKQmki/KyGgV4P3M+5mcDsux0QHZezlACbFuf4ZVYDPgN1bGmRthGMaPdxCNsQ3yFtGCeC+xMNqTMhpRYOTxUA6VTTTGY7dx4GEKdMkg1oI0qLXZ6FnQ9+NaAPj+tAM9NsngD9hVRABpaE6Bcs3Md9d45sLrElylGNd9OFOb+/MpULt0uHLzXBRu4eAuWnwiWlmp6B3BDYH4QKLOnDf9xgotKjSu8f7scY55Fo59Ev7yEQRweCEtjLY4Zn5uMCGhWcM5FAFwoNPjJrAt2rMZE0HMu4qu+Bw609GweDZRq++4CyZlThwAlt6wb4S7t84GACxOU5aoCgAYFAaBxkXToQEAhaOFm9I0nCV1iER+Xh12GmMYXwJmIo9tZxWd9muLoIb8CUyOnhtp8AEkgg5vTG36IRBY4SZlO0bZtg87pg5MtGt9zzRPEmAV4d8oP+eNEL6vQvvVItB64r9zntTmIg47MIjbfaI4AbDmwKFDFiKLsoRjE4HZ9Khxfx6kdDpOOGptvmJ0tguxSCdYYnq3+M8qJPxf9bLXfIkCb3TsbQJTYJMUEuLpzG14Yb5ztA+NNqADy51XgIdwqjwQSbvmOpbcaHeOfh1OCDSifS+uYfKCkg7QrwKl3xlOH0VaNPlek8MXFIqgZwkOkhVCrEdBv6ZDhyP3BzsM7M/n4BI67w2r4PjxIdLXDnyYixBLGwIi9/FMPtMJw6p8/4uS3K0OyLif3N8kUsnpaHmm8YR2Aavw2dKOzM79oxFNhvh4f1MEYi7QR6KHPhvRXEWhNu0EYL+xDz/g+KEhKADwC7/wC/iH//Af4nQ64e/+3b+Lr3/967+zE+SiiLyonnKgOMB24MLRRTA9C6aniFzCGcEURimgVAkuQ1Wp5GddxmYuYGWOOqYnoQcci1HPNATQgFk7IOe4RxdyMBK9SU8zo6qsPkqDHumrhNc8JwBQue10zPSk43dzJyKzuWcJCF7P8dlI6aR3LVMgTy4FIUqkjCDgcy5SqTE+EwZSlJF3GoPgphRMeujDyOS+YiPS8eCxyFkqiisyKRDjimF4apMDkv3uLzZFIjVB/gzkqMa8y0jVqNdGU2OQnJIt+pHXn4259ojQ/NAZAb24J1noPLXTyBnX/AHGLiPOeZcOQqQXExaXRE4SXcs5E7A05yMRH/SYi4fOaCfmXULWEB8RbDw7Zl6fxLgxx8oQxp6iK8ct30mbej2S7gbZOtMz9TzbR2/DqcqhUg2UBpsj0Azk7+P9rDbMlflATLaOB3DppHzW0TYpIBWvtJGATpHkuC5KxCTGTybj+lpZxSN57USa1jEXfReOlUbqTIaToguREVeMapqZm61dWTjEKETAZwY2umKgKTai8URVEKkcT0fIUVwsDhqG8xf2bX7gxok1bJAxyICAa32l/Upb55Njm0FLPlumT2SR4rdk9O25dpRzWSxQvnS0c/2t4bwkemHjHLkmxej8JxckURBdgHZmoOcZmOW6C5RdMh2eYzFbBWGJjHqmUXIdtnEPtvdCsEkSjfe6ynDKE/F02n5MXustbY7OdATTLtcxGXQOWzIF0fehBafDiNSlbQDGMyXVIQjPZbs6K5ToIPqlHa30eIyj+NhzgApgLhCSSItllWbecyExMQZ65P9lDrQm3iOUc/934nV8Iap4vuexCESHl+yCIgW2h0bUYXL02bG+pWMgkYrAKXLJJtBV4HuHBWGIL8kL9po/UZwD/tOzoE9EWc5fCvJjeIl+HQY4vGhZSc4CUJtD5lolnY7ZqlJAAPjjxAW6iYARsLDPdIwsbm99w8lpAsiJ1Ry2KnBimRnOTMP0tytgwrz1HKhIBiFBYirHYUlGf1QhNCcZLY3X7Qq9n6ps2Juj38SEDNKxnBravWL9iARgPw1Yb74XLFEp0A9c6Ii0ke8xytHy8Cj129kwsMlRmRFwL4oUnBvl9CTwSWE7xXrb6/ceMG+WNso58qweBj+js4Bc/RDIi0SEsSgRinytR5YQ4xyw6VOD33SWgEflV6WnTIBzzM/7mJ83XuXFAC6Ny1EZsUWVDxro9KrDnqN8/HEiQQ9g6g6MNJFlqnGudM78EBVoz8HAb1Z5Zn+YgbuF7yCN+2QVjcsicDT4HPybw8rUyMpUBxzQfYefFL4DVGK+mhb/xI8NmA1t7lifZ+js2O1XPN1PjL72jEiXdY/drrMqxYFZDHPrF85IkmJVHN0vrR75K/zZNt2zBITZIkXUXdBNcJgc65F8oulqpTPVW/CdWPbpO6Hz3+h0aDP0tUE/TLQ/s/P9LHzP3Gic8z95SRL8EXWIs4zeds51kd6cc6OVdawbb47lzkelS6YMnDbKz15rsF9z7fbYUOf3ijVRlSRMGpGZ5x9DoSxuQjTsqGgnYLmNwoFH2od+Y7VRyynmZotIPQM6oFK7NqHshrhA7ylv4DNgDtqXcA6SXJspM4DcCjFBexZ4A9ZrwA6G9qCwSDu1o2L5kkGfg/N2YkVO8mMSPW7vlXYq00TpPGba626NtRIFE7nuBND7KVL4sZbCntlVhz5xjsgTZREsAoF+Y8M5uKL9Wb+8AArYwwyZnKjVovx7zzXe7+cRxQmInMScWL+8BOIR938W4MMEJNHYaaNYPBAE2acWwaIgQwp9ahW8SwfRvkPYgTMJ8XXddGTuJwYOe6MjE0iZfjIzrdUF8jChnTb72qLhwGpVqB6/Ypf2/QccP1QE5Z/1KAgxD0VtYrKMaM+Dx1FMdKDQEQQr2aMaIRcKL+DDQ3YUmpHXTRKhJHkzveiYQLU55XzLPGxeO4mJuonigp9RvJCIROq86f0KRpXSZMPj30RR6ZBVGWuWuUW0k2gBiW/hwAWRrp5bBkRKtGUMuFhETH0zPgJyM07prWNE8YiIyzZRUp5vy63Zjj8yqvGxcMPgFZS8ISXnc+m6eW/TxuOPMc1UW5EH81x9jHs+V6JhRVDL+wHGmK+bzwoiGon7ykoXH9fTzfzc3ltGohU5BkLEwYtH9HHPidTAAK3KABnzLlGRRJ/S4MSc3SJSxa/Ja+fp1C/uC11KC4T3w3d+yWXarKN4Lx4pOWxQi0IsPAiyiRatm+/n3EmU8AVCIhun5SWaAox0kOESdWlilyjMJlVc82m7dmMTL8RNHG64qJ4pflGOQQp45PMDhU5JjqeAXJSYR5JzDbHGkscQ8gcXcx0I1AbjXQYqs0UWU+skvyed99GvNnM514onX4X3we9i6Lco74u2JzbtVo9fqWgAg5Qtg99RKEU+bz5zzLuch6O6BmONbO1A/C7Ty94w7HeuZ+O/Na5TNqp4efG92S7QvrQrRJcxEIXt3E6UJ+1sl4s1W9noKZy0RNqCx4NEd00qjYkXe9oWGW5FA8h3Gqh9OL7FUTQMVCcR4lz7jnJQa49wGShujFWl5mJu6JJ7w7AZroHKxLzQFYP/FPtWIn4yWTk4n7IN3+f4Qjso3phX9Nmx+7hFfleDQc+NPPO2fmxAeNMQVFTcHsL73xBbMUVe0QX6pDh/FCWGe4MG5Iogd2UeLiObguwmo1e8M/j1ygheUGQm30dk/pCrkNEDdROc+eAN3J+5TA+EJA0FMmWjFHVLIa9+28MAjQgZOwudDx+MbUFVaCSqQ7EoliNLOGS7b82MRp4bolITy7uOfm2YvxvCZKU3Ayx3AXPueqV8fG9VhlapuIiocWqMBhIl6RTIEmMJcDmGQCBU4WwuGhE7nbXpuzPvLStgfPOMsVkTreH4T/dSiBA2zhcmlo1CAdsZkZSnxpLCcFL4vr3eUXtoLAt/aCRZzuQVyDLeEWH7gPeve5UUE7lzCjpFVJqbTKUGkhz7yVzEM9uUVtspSsv3QRAGyiDLiYpcEkigvWFJufeInMVhb9aBpojXs7XgH3ihTpx/ZgpVnrPdN8gutDsyHQpu/NPUMe1XkrJvV7Rm6F2xOywwE5zPE7koWbY8G9qbBSIO843jBbwgvQ4Ehc7G+D8AdEQV0IvU0LbKZ1bD3Pj/+e6E+e1pODw3KzkBE1MBSQDU2aCNZcYQFBl0/9uNxHwHx7f5QOQAtJ2NTT7fw46p4uUmeAu52QT6OT0odt9phYa1e/K/2n2rYCSFH5GoQSC9sgqm+4bzl3sJqfm7BTaj/p/ltO2+VUUGJid6MhtcHOut4fyVPhyosxQnT0PQLGUYkvfV367cvDOV0bgWUuwrS4PzmW3P528PnGswokh2MKw3XhwyfWyUHrim3MB6Y1UZwsq9XuOAiemy9hQ23mM9ZFHBUUcV0znWrMTaO9HW+amRSJvViRlkhO3pb3oFhP2WxQwAhtTFiXy+9qRo39qjfWdmCspZCZSaS4WiBhcIQZxFczomBlb7ZbC3aqX+po+5h8hJhhzF5Lx2Fm8ET0ZPgepOBn+zsBT4JBR9nEjq7VckW6cNcBnVU0TEG+UQpngvIYDa366wBuy/q/AnIvP9imuH1amg07J16H/A8YV2ULLyIPOtxdKOaMEDwgMwoppthJURZMBy5Zn3ywHM0jmIR5nfi+huG4FURC4j2tCohBCM6Cc/n1Fql6F1IRhe7+azxbfJ82+i/eKOpOOSnnfD8MozKov7d+dzF0KRYwIMVMEj+lmlxtcjH8nqkvC407FIMmlA4/7CW65IL6+Xe0U+X6Ek8iJ63YxZogoZKURabXs+Rn+bd53jmX/y+57vIaKpRLLSWNQcIR/gsuppRBjFrM+x2t5zGrTNUHhGGBfPJoVeARillNsIXIIHtEVV8p2tFBbzVcc45vOB5/UYP2mXKIRbRDnbd4HN9xLd2q6frCSKe6p3/YIrJAJu5gA1X+J6GvyM3mNj0EBQBNA2OC55Jyo+UJTPQEo+z5Hf2yIn6ZBMk2GKcmkRHxyt4k8AiUiJID63eU+GKgeW/PwLMu/FA23mhE8vnifz9hLzzsb6uzg280dXlE0RYLx78YH+AcOObV9xH+fzsqmcj1kBMpDcOKdvvpfXyvPG/wst3s5Hw8U85/2MgClRm/pdBlR9jG/+KU5f3pOmA+EDqZVAY/K+BCNtrhhSFEDZgbILjirtlv4Z7zKRh0Ap8/3kPRQnJG1Z2jXFeAd++Xfa/kp75TPb5rkcY+/boGwAaPNzrGNN13sAhkbUdh4a16THeF8gdck/yTmd4xD77Mt9yOXFWDlGFdzv8PhiOyg7I2y27zi/o6fsEVWWvP1GtTwXinSpaL+/WxmNL0pJ8FUoVQxAZgqFyVkZYTgFjPSojKY2kaIE83r6ZKIH/tQYmWeOPlAD2zMqSdZ16m3gfkb7ZNqQM8Fy3ozOP8Q9pRDYidGEXFGy2Hc2IoiIQrEKBaFCIh8G4MSSVH0e5CdkzjDl17sUfyd1N2wXm5A67LbD7oIsKNQ72KZGCEWD4l73Ezkxz6yBt72TkFfpMAxiXPB1ZI2cf3InHKyQiPvTI0vu5BRla81rw+138d6NufCCQ7MyK/lHEckutyQmyioc4xQa2sLBAAm34SRIl8FVmmgUdRFGjU5Ok5wV8thY8m2cq6Vhc6Dw3/ydiQJOAr6vFwu/f0RhMz8rndcPMw1A8ppOjQTZvQ1C3CLY/ZOZlVcBY8uiLL8WVA7bwxnWiiZbEVzFyQPQjIzeraP8eY4oWR0aImyiQD8Y5H6ChcNYaZD4u69EykS89EPMBNo6+gPz7qoGSy6LOiwNNIBJO2bt2CkX9CSGfeDJ3RTdtbgm28Ncsds4OynUZhvn6uX/+6pEmhTMo2cp7XOreesmWJbGMTgQxV3eGMmuU3DIAjloj9RVsSQnBzLVrw2uRBst0MVtGsZ2jvOXDOs10VF9arCwIf2WhM8pBd7eN0yPUQraKQ+vKwUU9akFHK+Qj+eKwlPYUZ+lgj19aDXnKVrpF8iN7Yzl72GLvJGb0p6yhJS2a/7OdBG4yJlpV31WVhxFUYAdqN2UGkDr216ccH0Oka+wUYz+Qft7DBQ5Wop4Kq12IZJgbEUCB+yuw2/WkgqAU0DTZ4PfrqPsuzmm99QPcXUi4LNj+YhIbiFc4Fht09FZomuRDpcVVdGozw3r2xX9qyf0aEMh1yvwe6JueVG0q7XQNjfhz0Ic0j/sBro7xTsCiiPZr3ygWlml4wAORCU9nE45Nu4/+3ByHtgmxG577H+N18k0TDhymG0o7R4p4NivDfo47gNdyMVqjuevrcW/nO5pA9v7qTRr8t1/nuOL7aA4RiluMpi3TyQoxGPLBcnvViS+ISWhDSNRlRmTX+QCAYwoMdMnjiFtvz2SgZ7XjA0A2ERDMs5ZrGnHZa5uiwYI/+9RyeG1aOKZkluyiYC4MCW4MXGeTZ64Ir7wgvNzxZaPr5cn3sbnbUaVLwIYnnaeC2NsUgfGo7xNNvdeSE6hSny3VWK9eXce79o3G8bLY0RlscmHYZYN+sQqCqkxvRDSMlQUBmXp4xY18UxXVbTH39XzA5eO3gZJSUZ8Rd95/ZxDG6crhaQygvLJBpoiqHHPaNam+E5yo6bNuRKlMolqlBdzcMP7GZwqXKJhQsejr4qe19h5bU5blGWUL/PZ3KWmBgBYb5vPhiDadtrLp99tVuGkU9H00waPVT56Ue3zvY5EZvyF08JfsqKoKpNe3EuiP8ll8DbmevKkMgIve5LnjygYPvROCuUMbhzvIX+WA5APeRmUeqJp8R4s7FallRyBxmzOtXFWtpH5BeJSyBiGzYvnyOjdA76vdSO5nvOZR2TtifBmVA5UhQvA+9uqZm9RwLp/H1yVTEPX35tnreq37XtLIr7J4BwZQjQuhi9R0O3hm/tKZ0hQgm4wqcpG2rkxxBdcvJxLGP922/wutWGSJ+O4QGHq+0k8T+G65P4kYhZcseJi5pjnOs1zJdcuuYjbd2749P3qeLeF6p9SxA1IJdm0Zdw3cn7g03vk9zm+2A7KKpg+nqJhmg8nIV9oC5VYB+WPN5B9pixqAgvoiOyYPwVQvAe/XullBs/Dm1ckJSet3CQEERX5kEZ+ikgqJgwAINT4ipSYsu7XRgEgRzWCS/iwX1k9nwdD228YFcsze1ZgCua4gdcFIM0g786UODag3a6sUd95yDUL5sPKKLELpbNvFkYXU5CgkiwbNe9ybDxvLJr1bR/cno1xq0Z3zckSzxzm7JAHojopN02BMEaFeo6FHnoF9mYdOiK5aS4KP3RW1KiXxDw6Kg+b1RZQ5mmzDBTOSCAdtuleoxopyuISAck/hw69WqNhlzDCUABvFpaepnRz3J9djef0L535vThXOg4+s+GhvV1HmWo07EOjLHxFslckeIvx/BLnw8YIkPvDedZ//Ay/6ZUnlpCYz0oy6ShZ/VRMlSt+phCPuz4alHUiWtg8p04Ou5/Rl0abdbuwuWWULLtjlEgDlIafjSiCRzNBiaqFIBSbsUJCIvXDFJAX8mAuWI3z2iBYfEITx6wdTQw9HRaQ/NpDB2UJJ8hccLIJDU6ht832LnF9VudkxU1I3WfqFSgBN4TJsMepUD2fYp1mqb1znO16COtxMDgHNVDUdhpaTenctCNlE/S0IVT2KO/fRQlqIpJGR7hfOXxCpC1ADtWO7SWKMB4E8naUKg+1CcGV4vyRfefczQD5kc9mgRgTmWBQqIuwgubKaFpTKfY6WluExEBuorqCpb3NyO+J9HzZrTMJ5HYdvK907GPtJsne1WnTFoo0tiP5McUBsY0Dc2xlS32icCORDSVvTJ0I0P1wlqcn6nlUGjacB7+ijZJztH4A4Ncd071GvyXa5FF9g7CNm8rMHZty2tNU79UeJyKMoUmlp6gWjIlWaBZQCsV6Hy0E9h24Wwd3MpwmfWwDyQNox5KblqmzOVAjgI1sM2WTKaqkSERAyaa2tFF24H7QjoLDbyt0DSVg55hgNjZMnDMVleJvn99D+WKXGW8Z2wAs+l+QJGTlYEgQAVOIhuQffkeeOGk8w5tkVXeBq1TKAw4SQadBKK1oA7iIUi7ysY7qmFmS9hGJFGKwqRywCeUZZ+M6OW+uG4s1FXRFnLBi3HvxZYCSqHYQ5QBACL55MbgBRoF2bExTnRW24eakbH/P/jd5KRPun7FppvdeBjyfL4hovltHVGCIBlwUcpOtOJmPey3vfo3wTMBnzxRHOXwbo2QCBw01EFHrko3vfIxLi18qWI4phGK5uKxyq4ly2TFPiCpz9lOjUZjoncqiRDfUq5rngleScymvn+hMF8jOi6gGR23kMLBc9tRGlJbI38IyTUycQ3xXm3LWK64Bf5yA65XpG8MYBwGhcmEEJ7vOdZJoY6It2WPFUOXE/UQ4WFsgD44LTYcqm4/qHDOt9cI0SoOnxokLLFMpsSZsa8Q2fJEtwXX775dlxtvjAhH5HseW02IxxoqBqvjKJo3lqLhQVG6OElPjdOJmpkP0KiNp4fuSM8XUUjW25x60yEXuvlpiJOmxYcjTBwFTO9A3lS4eaGluLgMBkBH5hiOWAZWHhLycmKL2meimhNMzkA9U6e52fruiEKJ0AJIEL53PCqfjQCeHa66qoXJ97ei8uEsFmXKOlM4KmA7dmNw4qzxaUa1GkvzL3mG40HNKm0zCfIx5CmcGSTcRT4vGgnCmjOzKYDuEuKKP3mwxxpRwiOukfUhibu4FkwOZBusjWLmsMAwHIOQIoA6HwmYZ+0K+u0wJCgIhRq3bfFcDyfZoz9FGuigCqrIHkzNtDERlaNjumIPUowF8hxHUq8P2wOJM0RUyJaB9iv3DgFFR9vT5HZQvNIJSssQAX8De0Z5kTMrOqGR6FMyfKCtK0mjE5Js/2QyBoVjqKXGsKy4qejw4L55CXzn5p423mRMk4VUDdh/GvZZc8+ysfMiqHHCiyykM2Y4S1C35IvtOj/WZEX4ZoGzC1GUsipg8yf/o1+GcnaJqJjxaMUqJa1TQVBOpIGBVP5Y362WaKTQakqSaZWSSonGC0GAg41skHJHm1WDL1eFXjPTbfQueSmPUle84dSVCUr+4KEKHcasizPfHZ7fQFYAJW47frpSvz9zx3iLHbKWBMN1HJLbnuG/Lkyvv66w00DN5Rqke7LMzekvnAeA7TkMczgHSCUmlxh7vUpxVZukURNUZzgo8cwzbme8YZ6Vg3HNEfaFiagca/0ST2tsFWAW7bzeqLjeWTJZ8/+SYPzS2tQ9EybsWogGLqPSkHNdAp6h50CCHjt1+oTR8V1Zd5XKc6Ig4uOn0lY3+dDLqhxwb1nMbOi3P5GvJzqCNPJUixcZwqvho/Ac2/usuI0314khEZdqkgFI7ZUuSfclH8UgBpPw9gNK0SafTQYRnOqxoD1rlpXqKqrPI+6cQmUxenCk5RZO35yEJ0E7cfPVElMRmRz9QFDAjYoCfaQ8aJf7jWTVLeGNt+y44J8dGxzs35p1HZYUXIdL3nSJnyn/LMSLzRAOCCF8oTEM0MI0UZmk7YVTsTWwqqkdyt3YfK4OBGytnLflcLih0Unw4PNODFqLK0lwMEblonohwuFNi3g8W7T6oi8KAxkajQQ0H4Ha9HNebXlovPhvRqCuec3qU+l714wmkOfsF2Zu17JamoFry51baAD2soyHpJrjKd5cItN4sVVLerqKi57oPm+90NP1g5XzpU77nCHiW0NJJezTTvshzI3KVS2ayckTt4Jg+NPZiOmTVFu9RrlbIIpiirUMKQfrsbJL51TNbFyRpu3O/ROjJ+C2bxPre0I6bPfcHHF9sBAWMEiuP3zEarIXuf3rdNsXmvOEHwMGJqCHosykXLs/vEOTQNohp6FKlVVXuOjncIgUUrPNSR21sIlVM/TlgcHO4hViTK6YniivZISDcxwZrG4Tk1Ib+gBHaNJkuZIZLTjylt3NBAjSUx0aI0TGcBWy88RiX8p5zAUf060lmjU24HRXr9RIw+MZhAyOg9cZKhrvSPxm5hyGyKaqwJM49efU8AYYRqQ7NQc7NzqMCqVea/UBYTphRFaMB75vrxxxhuoaL1/ZhoGKBkTgX0bOjxjMjhYpQIl2YrRUyKkvp+azYqTRkdIjm/etINaZjk+MEBAmDhrki1YC9C4aPSFQWGXykVcj+nw39QCfGFoHsY544r9kzSp6jmiWbrwE0fqdoeTDLuHZjMCBO9E0bxQNtVWjrbMa270Q1csMB4As5K3pw6K6zzYEEJNwV/dQqPYR4p5b3+gMO9uLhhbZKsd+Lg5Klyfnv5KD00HfR5kQWT43icxbv7GDUPmlEWvqiwBXXn08OeWxYbwnBT/eK9SrKQRMW33lVGa5XcTOc/JG3jx91CQQzxk6j+R4CGQMomJdRaSD3+tyC88DNu60hRHbwOq8uFFHTY0iiPzWsEcDwvIb2NMGbDpn4KeZIcj8UQfCns2AHYwPJFCwMhyLXyfLWCkEDQBK88LnaShExyzTxBhl3GdcuVCUKIVoIoelZ0HcxfmHPtvaWyDdTsRYRh7cIAJMXEig1BxEDHTGBzyh7Uj3XHLCljed5aoV81Jrctu8AP+83Vk0yM11tu2FP7TiVhpJMNkjnUR5c95dHIB1lvzWDOK8ihuSIIIOTaC6awpOFSAMD4Y7CDpulkFGfYs4KKpUjS9iZ3kZaU1D9jsqObopVfgAl7OL4QiMocKlqnYL9ojmfnpTN+YLsaakI2jdMbB+pC10wpIe3MPg+8vAKyE005uuC6TEatEW+WSYL2d+4t5jg7TwgwJQIlpk52DQiKUG/+ySMccDD06NQ2TWcpURaUjiL1TgtUgVx3YRXDSMHu+/VLl4SOnRciLbR6UClqkpeOhfFluAVMt4uDj2BQmmZp93AqXIWqqpm2ip/r5HvLEImRsld5GHrCOcPwEZjQNiULfPy6+adHqyaaukcLyNUfeWsxadJY8fyVm7afe9UUnUZDlqj0avxdNCRbV66GNW3I95vHloRT6SecmwXalxAomlk3ns6iOmgZGpAeE2LuZ3ENJ+tiLqE3YEtyZdpG4NdGzkOz21EkrmEAtavJl8JORuQjd+wi8ojjdTm5NG+gB19JccwIehoCuhJ0gOGmNupwVzQ5g5VVhnoHBLy2cfFATdEeohjk/L1n1VeTL2US1NmrjCQJNvt8ncq9pnncROSfpM4GhtuC76VruNzFGlT6mekvHqsu9S5mN8L5odNe4lw7DhXwiZsbiMb+fEdo7glvOmNTboyoEX6NZxhjY2Z3JKI2n1j12LzKsE0ddom51qspqbg+9YF1fST194ECqE2nUhJfqdf0wmQk5I7kwT25uxZBtQcb8exFitICjJ8vZrY7FI/BUAJgWGDFOtGpl7CKbCbXgg2W5kQTdcI3FL3qEi6qfINoKQXAkG0JNIDRKvzBs9aNnR6ZNqtPWtV9l22JHA6QVdEcSVbIWQFUjqmJ60CAGkeJFfaeg6ADzvh/Ax1X4jsE5Gkk1kZBmOKTUJhWs7K+1TwHWzsrcd9+6KhIh2VsuD791Crzga35E7pyAI4x6/4VOHQyjJE+fAZa+97HV9oBMX3m8LC3EwsXs5RsbzhBOihiFi5wFj8Cdf55FUeiFVLic8bEYfdJ4rT5HCJTVaB9XYYdDlScKfdN9hV8l8ACM8rjmo4J6vCH6dqSOWHzoZVHXj+seCZPFF0bnlnwxMFCCGuSo8VoGT0zij5/6yjZNnBtEVUq/ii7JfyMEM6YEmwlBjDU7v0zidjTvNAIpv3mHwJHaZDmOzwp4Dqk2QX3r5o/P66b0oAOYbJjwBojF0RcvaBAmQzPYnrZmRiMZaxCduVYXrfsB4MUEA/TNzITWCNG6cDY/Ek50dkyOz3zX2uLI326CBtM51e22+Qo3S0bBgNj+7BpTGT0t/hDBXSpsx/dwCZP7erEChLYYJji1I/0GhmCit5PkHS8xQPC5JmvyMMrCdBf9MLKclNxMPZE6UMtbc+nqPSUvH/aIJmh3iuZXC7ZDK0MGptYuQswnNIlKV6F7QdvaUWaCGuKQSnsbm3iRD0+XGHdliht9x93ATTbsWkhqn1MpAkySqiuQBONuPQzuXEfBZSslrDKYgaKo69jlBO4YGkOFNGu2hEuO90QGZDPylRlZsOc5LDW0a4QWyGEx1CFyK4zrV6/CpTPiXy1gXeHZ6oLKRQADg3WjtwfvYrQuH9irZMo6w2u623x00bBSVi0J4FPsV5ws9ar7jht08mzo8e3BUjZ2m6D/uy0CZkCwSbUU0o5SxV3lsiYCaB0oZDG/c4eF60Bfok0Roh1vEDhd36wYYDlGs85rntySW0Xfx9oB0UI+Jte4uWHJHqqeCPTqTtiJrok5agXBJak7SaHetTY8aDS+VZ7u8YPJusklkFcp5GIJJo+lHpLBrtmgbqSCcF5PZFSwqJ1iYpl09CMtD2Hf1x4ppO8vLTNP6990LH0ybLZEMu4LkV2uizs7Q8OTEONjUFCila3/RwTryC9kxR2zVtj+ydqPMnMwsydlacTXLOmN7hHIm0ZqSm0ulKx6SQp+awJP9+juOLjaCkJwmgyIjxt4SRSP2RsQE7smZWVxm51W3kvyltk2UwxAuuig0pIXtyVhTtGBM8iaoSEK2jJJ/ZbI/KqyXpvKcegt31URIsgF/1am+eecQyEJG6QpCXqpLEwIW6QU1yg9OTlNNSpattaAMUtJpjMbNaiU3eUOSrEvjJCKa6i9I7rvtP7sWOUYf4QHUwDw5Met21OVq+j02ksEpFNRSIiwhqtlGe2dgDZKAAca2txy4o4rSEXkAqG8qOjlSLcSoJ7oyo8rrAcHgFNVYUXxrjWlwcR0WwEgjRkOf2Cz0dACPKyHNjc51wcsqwbyI9CfVhXSJa90AugsQs++hEnPDy7KNpZl4nUwZJYIx3Iqd8b4E4NnJJstlf3W+uMaOuSf4RcaImsbk7MATcVhKup7lXuXtW8DTxEnfbpmtYxTMqerbcEoVBxUobZQkEJTsYb49tJU9rhqkZHae47yR0tn2sTfVqlKjqhQAVN2UXUWNwm5I0KuFI5DvLNa1LzO9YXykUSCI+ypbJmo58jNea84HjbnsvWyHpjCNRCXJcykmPV8afx9oPm5DRbjqjgxDr1T7E656ir4/TBhSXItcHQNTJBgLRjlxfPvN+2wlDviD+ZOrZZpTMfJYX5waY5cqVhi72ftxAR40tsEFeco73qJJaBRpjU5L2mVYM25TVn5myl3DY83qazlKii/3FujUi+tJiLqcNTtRZqSkEB9djchmXsUcU+RhETWQytGl8Nnk6aXv1POYSAKIriaqoUz8pbWkQ4DXsnWen9EzjPxMdkmaDhwTet4Raeu29qYybczy5STn3s8Ltcx5fbAcljXS+PBmeckndH5mKkdxEZSyufsPW9HbXL1VnI8XTHhvaSfD8E/1SvTXVSzfXZYlhvJBjQ3sIOC9KiocAmhWcyjyeDCZ1wKZ2sPKWe3Q2xWxDnCg2vYxuoZm/9UI57HGmsFd4+e6C/tEacD+ha3mgeI4dAprNjfphCviQHro/TzWJfY6NrzOaOn+5D/JgECshIBcnuor6uUH2kaKQSNV0iRQVhYL8YND7CbtvJ8wvTC3EuNhNZ2v1hDpzoq+C5W0vMuL6rge8HQvsw0Stgih3k4W5VzlLVaT4wYK/Qcvbr7no+m2IGq0BC68UX+NDgUJSOxuw56YXDsKYsg+SEA0KhVePuSiHzsZmIamNE9+L367DiczmYGnMAEZUQQqUR6ID/a6T22JsQZC9RUoQD4AfG/ypsQLHwMZg394RZcrUBjCM/c5Yuv6kLOlMo22C9UxhNzONCh0uLIvNWfcdy9OM9dzI5XCBh6Mg8Sh9VaIv4aD1PkjC6zKVRH0/Nqg4dq1fEF4BFPoB0FHJ1M3qDR1Kp0Q+/Xv+3JD9eUTIOeH9OayT1JubQn9u5bBnhdG6NtjKRojy3Ej0PhHNwv1c7+ViXNOpPzL33/e0HcubTG9kebFWpYlFJFxpSqH8PLlQo5z2/C6a5AEVfE33JDj3qyirPSrWW24etjecv2REIIBRRi6I8uFwAIPn106oQMNzE1Q6R7vvaqVUfA6Uo8tQfjUiF/AoBMg0UdgNj+qVLKGuKhlQIsDbSOUUOjCNDVQ/TEQRbwIlOgv5hcFXSdQ2CxNyna/XlPG3vVfLghSx1CXSXxlExDMnepCl+jb7sMW5J8lIke2+ywo8d8DWsDtBTfAQBVzPJJ37cyO51DHOZVLoopyI+OrEBqEZ7FqU/2bwZTuv5qGo1iybMQ9eTkpL+N7Qd0Rq5EhSvv7WjqXKEYz5scGuO+db7CGpL+WVXpIQA9XaH0swM8qg5eHzJ26+0A7KhUx42K2MHmrTJMpcTZ3qCM/YgzvyqZGQcFQwFtb4bhicQGM8FlmS2BCwYTWxy2g7nYst18Aw0gbihQTUJrGJaAvh2H4eKDZ+bWAZJW29XQd010f6KdCQuj5Q/JktsauUU42bvm8iAEkDnt5xXL+cveS6RLprlDfHBxNBCc6I9DBCVVWxeY9B1qvxL3Qivx/Xny7flXSp9uVbEbhMWV0Qi+P/GSmXxHfOH2zmXD5XzYPx/BfHBgVKOeltaihzxlXSHJUuF+J+Lzc4YEhYb9M/eW+7IOK9nLPbdx4O52gQuLleHjG/M7LKz6WDai4lnV/XcikdE3TyYLIBoOd9AFEhw9/J1rHLy4RT7cBAAC9ubjPE4lWx81nHS3n7tjnPNi30shrIt//onHOSz5hzL1KSsjJ1wpNu1t6mpFNyjWzeo8eaKB5CLv2tXdus6+L/piCcjzlwodBZ85X3aROqCdzosB7obXJL0gn2zXfjHrf20Tf3k9QfXTBsQPy5AC4zjSi4KA+uMmXBsGuePyd/UBeMtW/jvsa5UUjOsLVSDl9UOo8xqzRt/AlOWdq2i/PHur5oJOi0udVodNNWI+Xzt+9AVxRCVrYzeWbJU+mh/9MlFHg3z4MRaGRLCTeW5iddoSQrfPxfXtq7uL/iqdW5rfYpT7QqyNS60Y56aSNKxn+zXyTfTjb2sFDl2I83WdYfeHyhHZTpUaEPDfLUsPttRv12t7JpXkwCu6WYV3WPtViUwSeQIv308t57sKrXdyvWj1YKE+UCAgaZ1gF9aPC7KKE6RK7ZBetbluXaIcWKhHnRk1bVh6wbcaA0eF2qBLo2vTBS6YTo1cpywNMgZCEk76Eowp5ds2QQB4M/T7DHCXq9MrJfhJLVCrQPDfZuIUx5Zslcu1uKJOhXvYSU/IZpEH0gSjR9PFXZdPFargLNSVa/C/wcEtKzob+jqFDlh+PZ+7Xh9OVewnfehXnbgBihjvVLMbt7VFLNRkdwEXJxjq0WGs5K1CZVZCOX3N7znuWZLdIhDr8y6H2jOJM6I4MtIQ7YLDK+J7vpwONEzkhGTxoEUuE8yfLZKu3OcuWNk4AGTPeU3pZDhz1PvI8g3+oz0S3ZIHHSGAmmIB26oD2kOF9EZg8TuRHpjHQhOmOEqGUVrO96jSeJrDqeNRAj6WAVRnO+CyCiQTYLVKWcNk4N2jpsaehnhew72j7TIQY7E71ZlzZ6CYGpHUsHQJ2NBZ2Ox3mdyjCqGCYxKAyzdlzrCd0HKvLSSTEXGATzRuo+00K6qeDJvz0ItRRr61UiTg6WEG3sI83Upk5+1/uZv37TYW9Won1zVMwddWyI6gPR3FMCH8q0RykQC3kjuVHoItXwlGRprvckPSZakOkJb3SidAFs9lHVGAFAPyRaixFE5EYJFHdqedcj8EKlgbNhoO9Y/tzvKNA4f0K+X3Y2l/PQfbIZyFS5nBT92ka6Zgok6MqqZYds0emZDTstCLrrnWF+r6yWW4YomwuftQcZvOy7C9o957lHWTUmZxPAkL2XE98rdkbe1yZ11N90rF8K2faVKZP1S1w/KTjW39AWk+xq8H0nuglUgLPcOgn4iX48NHJQJto2+WTmvnQ/I0nBEhoiHvfVH+ba8OV+gnxrj90/3PP/ncUI1ZC2R4WfRcuK+6kCXc0WFtvABiCHcRqBrjdnJZSOCjCALQx855VObk+K9p5Vgu0D15Y37p0wlsTrUUchheLT/aS+z/GFdlBqAdUPMBacRLS6MYTbFMRFZPsZ0Vcq56UWhr+8DlDnkq0BymsmR6JudPPP+N5oNBe/3yJCW481o4L4fMkXb6Od7XNu7yc86ixl3cqV19uXzd8xNrYOh66iuM8ag4ux8PEnf5ff2XrtmafM59lAy2U4tznadNb8xbuL62YUX6mVC6Ql/g4HBhjGMStlMjp62ZTwoplWvIeLxoouhZbVdep5pZyUipx8U7GzGcsi3eWzbSOVzedKcCzmS5aKb0vnq+19H8hXXW8TYHuidZO9QFpwOU/SV274zKMqeBD3vn1Xcdk8v2/Hd/v9zfuUPI9cPPpnHj+oYWCHXnQy/vT3P50Lz3tJafuLBohAoUEXh/Oeq2Q150k+0GadXoxNkjG3dsIxEIaWn0dxPwCM9yibP3HuqojTz/hd2gTZ3FtxqeJn/fJ562fhqIxnyGvEuOjmXJvgKpv0FYKguLRdHqhA35TIp7OWJPzm1QeM19rcfw7FZpwKJcw53rcfjPt7OXc293MxdjV+AzG+QOPzndtAQLF99/k+8mfJydheOhFUH45qEaAdgw+WTkWgFL6ZaxI2NW+pAsQNWr21zZJj0CN4fDEW2ZKkjkJxMVqsBOH/8llk7FWBXkkixzHPPtU25vscX2gHZX3TSUS77qx4SdLpbTQ3e25AoBaWTOwcwEwZfJgZYa9aVSi6CA7fahTnCm+00JPz2IzkpLx+LnBjVJ/eu8e1SxJ5MvgNBW9ShI3trlmvXqVa2YgucpDtzZlOSXrB356ZG7zp0Kc22Oa5wLoUMdJng36YOCH3WckTzxRRdb/rkMeJXvcNEYf2m/uoCGGjJ7vuyBbeaQj7FTk8bO7XBuy9EXGTaB2ecDguNjT++PBP52Hko+yWYnVazyKLVrUSAEiUvOljK2G5qnhqXhGbBIdj+njC/B3K3dveIbcrcLOGGJXz3M58+1ZDBSaQq2iONodgUjSanCJikEUYDYWqq/cQ9bteiXxEo8RKpwg4LjkOO6vINUXCqqFXcAWyBFJCQCkRC7nurNBywK4ZcUIiendwTge3SRepscLBKFbVaMjk8AI3PzUqyx5YPpqGyK/4LiUg5Oz8qxPRyJ59TtLRAYp7goX59t2ea2ZrpkSHw+FGbZWpdeynQCI/I4i4EFuDbnRQvHrxnPqE0zpy3vOL/IAiZO/FSZJNcmy8J5wJvevVysZ0sdn1taGvjWTYA99PewzEcBXI9croN+ZKpvaSCycnbjDtlGrKrEDJdgztKFjfdiQZvp2I/EpIEmTZrzciBxb8KrsyrG86ltvY3FLZvJOTkWRGl6HFIYtUpcp8LyPlCUCPivmTdqE2Sl4GKiWa5dLrXfATMhIH0G/7sDVOx1iDl9eOiulBMX1QtE8mtO/OLD7Iku3nBn1qRMCDe7beet1r6sEAHLfpQ4OuFHhrRxKW17cr2rOMdiO5SYearO8iVbOEiFmiD1dEqMumOJiKXTe8GgmZeAHkqQVaQXRQU6E5SPy+N1ZFRvUOcr3vubb0KSQAYuzkZgUOnQKKmfoJWX7fU0L+/JMLC0FuSD6vtgK7WKPBc7KbeJbJyavbJUkb5P19a6pmiyQfe1UAlXBppAeXdyHe11lFaDd9w9nr5HsmJWAVrO9WpoiDzyR7NuD9vMcX2kHhhtbKwxdHkAoxov9tdJZVKJk7Q3zOQbJRRTDORZee6NY2pqedPw9PMXPuUs4KKmrZNsJCdjbOH72MhhJ5SRSmRS+SJRZZRqlxXLTszmd3KZVSuIxeCBKRc4xdqV3GhlJNsBrF4Vy9qgDq8UNmGwETp5fv4tW/BBaRk+IyOgcG7yOdqingz9zQ8pwZhdrm+YBLdGzjzQMoiLsqgcLLTyczSXCFNjhC0Cwc28mLKIxwAlIh1Ccf14x73eozjHfId+sNJVpV9xXPCwd7ZGTEFV1ha54IBjISkak3p9CTx5yJ8kJ3jsWohgLTOs65UZoPwNDUyJLARFhsPNMFspNy3A2hyzGiIBGHhoNifZgRy9JwAL4K/w/QkYk00vk40WlxCR7Lp52PLKXX4C69JMduD3P5nlL33w9labj8nRn79pjpRWO/TGfVvaXvWikSv0RZHdGBeowvGzNizK/cLB3VTiIb7hXKluilUh+lkLoNt2DwRqRa2kuuw7zUtqokvlPoWqJV2U8MqG7AtQZlGxljoDm5jhS1DryFjSmPNv5KeflOXZFE9IqDAmyQyRr6QskT/RmNT3kvHuOW7QAApnts56M1ROjTAKAjktyNCPi8uICbf6d92iAfbAqogzOE+H2Mt4Vz4c/twsZnCXLanlS4TTtaAnFb25StLhTVjfhT6I+jUsuWgUGiNS8/kyiGDFuUqfRKwzkGygWUHfON/ao5F/uAVAEBv2c7H3YibEa2IZDsafXp5f49jy+2g+KC/W+30SzPMTy17E0wj9yuniJvu2wimXiP032gGCu5EOevrCMfV4RbGRoA6R3rmKDJ/sZ2k1QfOWQwJ4dsHmUySnQF1JiYLQi25CO0fYc/TpSsfmQfhRSfS2a8N+bJ9Wmo+cmJMtdyFjaSypLjXIQ5RrmBx4YoR0qW25toYne7lK4IDJiepBAgrz40HGectNCOEjNLwx4LX4+s1NCnRh7KwbB8hZotbHxl8aeTf5JqiGlAkggYBtOzzA2oCESfNRrroSq5+rsV9hWKsEky6SNqSsTHrpjjZs5cS+fBQ0G0INZEOb50ZqRcZGk6gaIOP3Tq4iQHKYl4Iem9++2Jm5gBu++wDTrb1aOibmS3ZHGWBYa0PivFtLRKfNUR5RhY2eMcj+lZApkT4M0CODC/b0SiEqG6ILuFE9ecfZRmq7LPIlfHpjHvVvTOih6+ABB5CX6WHBv8aaLuiku1j8Bv74ME+3Ljl/rbTqyimUMHZZZeiq8thNa25NcOxbpxUvgz9tN52e14K9SWVTwAq4iOxxnLMjxySV2KRKQyiHHAj8GlmQYKAdCR0A8T32e2aQgO3PQUm8WG1O77IR8gBkb8wrWiC539fmelQWQT0LKs9BTzrpPLwr5fkuaRJNMQTcvUhD5p8Fb4Lr05podQnm7A/mMtxVbfE53Jyjtv0TNntuG0CIikxvpNWB8xb2QVqnCDVTH9plc5dL9iVG8TSsY+HS1WwtlwTILQOz2mforX7ywUuF2A/m5F//LC9hCPCrsaxM/pQ6P2yxpKqjHXiUpZSeu3hzaqdywcy6vOChsFNZQQ+iIr0Rq7NviVsbVE2GUYdUUkuYcONm8Mobp2YHUiEDYngiV5mJBijDi2EMVLpyOIqKfGwPqZ6wzRK04OvSQppIOtLNKpcKJ7ALifCLB+NJpJVik7+LftojroqlegqEcpbkl7UMz3gZA0h7w7kwSb93gW2NuViNl92KH/rXBQAGC5y1ALBbEjPTqgykItJMcTHqxGehpOycGH1obS2yuxLWB0whUMnRABIXkD8GGmc5haALnJ6QbEydFepQik1EAZkZybEEoMHkA/tYiivRAij4g2S0xT68Si23BF0tOI8LNL6zavmDCeRlsAAC8qASJ0qaojjJLE3MQyVxoEtC0H56JPjtNws4uylBQzBMPZaEQwqiT8pAUZFrFqW5kUTqM8DiIlJFEfH9EQcNFYz5uX3PNWhRhCCPkCRcjoJ7ViHrm5F5u+h0BeGGT3iJ4FyIaFNY55z44LVMomfrfvffP+MnJDaTOUumVGxEH8LYQo310juY5iYPGes8+PJpK0uZ8touc5rojojfM7VTohJBDbw4x11Spl9vzePrVMJIT38l0NWNn3oQviMRbBI3KA+iOts3dNOiFjyo4x8+FYfC90xVxxtvZ9hdxSrM1c2Ftn6gN1cVD7YVNBlrl+EZSuDHKMDdXYE4JqkwFDIVzrjY9KCpMSHyxnpY1Nop0FPsf/hQ5GroP1ajMuibJNTJFms83q45Mo5zRsnCuAjqpAKgn+SClVmifvMeydPusF70CCU3Fp92S0gSgkJUTUJj6/uAw7FmmhgU6DqRTH4KM1sNP1KrFexnPns+UYJKLNBqGglEGgp+UExfut1GqsIxjPn0TZ/EzaK46Rj2AVcb/p2HeB7YHiwuRHgvxbdi++159bFQyUOvXsw3mKNStpyxOBnYdOTdn0cCizQ3m2VoB4zU8YHWvODxmOckMhUcCYK3mk7UgBvUL8hPPFo3LQouS5rgkEeZdkW/8dOCc5tb+4hzjsy6E+ufXsz2S2Q8CIGIieK4DvO71SHYsqK1o0N87GiEGu1jKweh4bdZahEiajV7j7LiH7LIkTp85HGgeeZHjKciZPQa76JalqDdZ5RLXy3IYeCFD15dKB3XsZ5+3C8tI1UlUAuR+bPjyayqFhbJJboWehzgWAdrMOIqCFAUthnSk5DqAhqsnNv+XQx8LN95CNofJ8h14N/+Qs0R4gFvOOeixsLU7Pv1W1Aq950a47nMv5E70wBn7oY+EFTKpHjb4To99Se9IybJkO9I/OF2TAzOe2Z77n+ZPQBOmoyFgOfVRf9UA3BMNhSMjeUYbM5jEvbM/xyrEpqLYMFDaOCgasbyD/JBwUuV4HsnfVeY8Kjuszo0ZMPtq4xxoq2e1Nqozlk3SYUgxLF/5OTorpPTkYAAXOksy3u17K+dArRmYimaoJdOl6RWs2yo99kCRbc0yTQXcdWhsJnZHvla6ZxC74KMBAUM69fc9ePEmSlXBQWjNc7RdoG+OjzdF2vTbQNoW+jDjmw8q9LuaJriHyF8JtfhPVSBun2t6On0nnPCjRvXQmIvWRDe+S8yCGUfp7t46UjwwUgdwL3n9JwEd6KCtXfPaxAS9EU/qNVZBgUZEiwSPYpk+mBxnOdcxBCkUGkmNcK7nxV0Y5kGvfewRgTAdIp/3xyUb6OTbCqlhb+Ht9auw/tg/0NoIQMZQYZ/bscQfsqsN2hukxVJcNhbLkvMKe1Sg+GyXbo0rJW6aSZFT4ZGop+TfTZj5OXnYs0aSsagJi/wB4rnTm1CGP7L0j1+SDtUOHHsg/SR4HZq9WKhV4RMVfaWgZILOhXa9ESuKe/EAR0NJIMfZ4AziXPJ2J5pW2F5ch6pZHPG97Fp6zoYIOm0C+TAtENztWxzyc7sMeRgXoZwUc3+v4QjsoclLgfipp+vWGKQqfvMiO601sQGe9jNrjoHwzCpnIvDBLy7hIUuIZLz3KjcFc3nBS24zgo6CY0Ot1GP8T4caCzMO4VOQQjoZdZ5omhJ8+TIFUoITfKCyUF9cRrYRtrfRKQKG+KNYzof8sefXnqQxFEuj6WSkalpwDk/K4LypTFMV1kJWpAk8BnsrLYvxpXlFKtqLXSD1UxAU6f/3aOFYHw/KG0UUS4lIAqrgsJkEYtBGFRQltwsS2DyKjbqKPMPjZuTclphMRaykBHmNqoWC5vLXql1LIRm7miaKkaF7bcFpijlZuP4OogGWzW/PIeWN0Pc55FghQv009G4E9T+N99pFi46YZYyk+2gMIgpQ7xqv4FmmkErHaOEhiEYUG9N9vrZAPUYdkJJvzcKJUt++tKn380Pn5QFxaaNNYkIPdpUTQcqWtRjGo78clSSXZoXNC58dccV4nnPtllcJWTTardiY1mElUFWEQe/NzzSHN0BdFP2uo6EbAcSKZExYOxzNTezi1iuiLq5RoVJeI8EfqJQMm2zNdY3M0ygt+Uj8E5L7j+kh+RrtvmB6U6EY4HlRiHTC/q1M8so3Iltw73sf0oY2mjhOKkFm9oiL67tcUbJMlUuKdPayoLsv0km8cl5LCB9M5xR2ZPPoGSXA0ZMzxWB8+eaFA6Qyk7UnnOdHITOnrs2L6ZCIZPL63XjvlHMLW5JqQRS5Sdxc2PoMCgKnrVGfOadHDEY3nTAn5CkhXofpvrP8s589S4ESOqbE1yPH92GBLgzxNZZdSXRm+CRabUz4/EG4xgT83Vl+KM3OwyhD+TERDmMrGvqNfbVCS3Dd2NhCiktcXPv9Zi9dmIWlRMvbHFjyYTSp3IiF3vU7bQ5v4Ujn7+x1faAdFz8omTbG47coK6WCnSr6M6laclRZAGf1CPFLZMEZEs/SrS7Qix0UaobzAcCzsNhj3tfilHBSP/J1Gx+QknRXBNR2U3PzjBSYSxHbfGKV3ESnYZtFuBXg8iW/Jpo4UkJ/amOQanBlnaqjvw4nKfLmPTWor6wxEFJeoTZLzInICUA7KReDavDb0kktPme+O4s5482oV7zuD33YiPTmu29y30cmwgKQlkZzUY7AYl8zL5uaf49YxFnxqMIRTNj3JcFYDQYA6/LYPZc9mNeYlOa9eqpNQLySvxrOIlTEumVbsYXg3omU6UZY+OR+pvyNXffTlOGu9T1hspJvIjw4Corkf564mIlBI0cbRSKG7fC7bRPWTV9oyW9EjUiMvS6ClRf+UuL6qQ/c9notGeYpmjl4OJwoCzvN108sy0Ti2HJTvdXRXrF2xBIn3eyEpQKAw5aDEebcfVy99GSxsIJiHLEKkL5xfPW4i0EzNpqKwx88MlYrMEtXqRROKyT7xuil8aKGGjMlLUdaFvLDpUdDOqGhaw0EZ6CA/V1Vu8Yh6YuA2Ped8p13i/A8UJtaZGDf30l0Ju+Wh1AqwKglAzPWwo0G+zrRFyfyfeV5PaYG0WVFp4xvHJcX8JJ3sWDMpjCZn/rudhZyItPMTuSnTE9+Pnjc8mSX0TBzlOG3F6UqccVsYkE5pj0q2eE5ZpAIFONNrKXYGcSrBClNwF2TTiyadUlVgeozxCC0mD/te61O90vIphaFHreac7ZnrRiNlxM+F87Fn1Y8drALlTB1Ktm0wDB6hoZowuqICpeQR+d5GQ0xs7G/YwlQUhyBabfxvpIrH9pRptkN0EY48F5ypEeZktSaePjcSVhM67FI8AT0HBHpW6GMbjfpyA4xJgZlQI87KCqKMMsXJc2nB4r5jmaHeT9VFV8+C6eOJIkaHIIOe2kWNvAfxMTkk65dWLO+sNnc2cpJL+E1QaZFs6tQes1rIYVHplEbtAmIL5IENudqFqq43HwTkENxKsl8tagMb6x0j92gIxAfwm5XeNcASviDR4tSARbC+IULQry3IqkL4dLMoquQ68rNF2gwY066McuLq5JjkIjEUNIxFgPczqi7/nKkeMApZNYilUlVMy50Pgb581lh0lq3pk5+T/84NNtEjJQ8hU1E+OebvTOWIyT7aHiT35n4aDlMXioIdGzfwLAvc9rGInHHJ5K9EG+y6k8AZonNQp9ZMRHr2YWapdED8SNTgGJL7me9Oh90RpbROobfoPtzmoVjrLhDFqIBxGeWPjtj8+Vw9CLB9jXLiXafM97EV4TZ5IymyNoix4/m3Dsfin07lpCjb/eOB3Y1dN0JtflHFo2JVlVQKt+ok+ObajHSnXq2U5Xc6UnbTsXwpxPkCkcAaG2GjXai11pwRviBKUKWCpayisJ1huXMsb4Yhl47RjiJvWwBMjvNHhvPbQBtn2rK+99p0+oFzpe/CV3jWIo1m1+TTR3QeEwVYb6OEeb/hvoQDUY0zp+A9RbpbzoLlNpyfntcmcpZIQ3smuqlPDcttIi9giW7IMcipVVBgVyF9/zjBroxtLQwjFb4zkood5OFNFEaTrHo8k+B+/shgO+O7yTUKYP5AZ0aPYeuvrNa8zajUr0S6vT3RIaF+yEjH5iYsR6bMLNAups4E9jAHukr7WxydWD/Fu9tyAAH48xSINp1be544b4SOXXtkGXxVVJ6JIBVPxKQCTk50Pr89zERXQiXdd0yx+XMLCYTxDqf7FnMTtH0ZbDZn2TEifRPzzQ50hPzcRoCbAcgabVg+5/GFdlC2jfPKS0+uxoLipeQh4dUC4++E1CVh+o6a+BefiQ0nN5sLAihQm19G8G2fqIkMyNyAdhzOEFLSfOswJJwHXk8OnRUteZmskKgUykADgPCAM4WU9x2RRvV2qAHBgEuTb5Ckqy3CFNF1XrcC13TOJqfeQuP/9USjm/eSIkPVdCx5DYkO5P0689gZdVZVSkRUaF6kxNqnwmkEMFI/eW8ZFa0yevioFzfDlagWnbfNwCgdNt38TLbs8+QYxPnH9aQQmPG+vNANVw9jGo5Ss4pYpJO/cCG4Z1I9NJLzJJt3k1UMF4S84MIUvC4xfokmWVSOJYHYMIxXRnHNa9MZoTbni+56aKAA2mwjWQ9kSW6NWabP4vdVIt2DvBubMxsPepQ+aw0nQGQDApJZ46cvy4OrF89nICTmUlwZg3ymcFuiKPLyXoHS9kmnS5QN39IpI4eHFWcODBHArfMaTl5WeOk5UIQ2niP5F9lYzbI6LZ1fk2G/tvMrUmd28Kp4KVvmKJvo4pXCroqNCjKkyPFZ9mtx7Ysy+pgjlpuheNlEl2E36zni/i7k/kPYMPkolersw4aVXY17F4t12jy6fMtIQQcalSaC9+6V9k9002PTvSjpBWqNJ8dtK1lf5NNwWKo5YnJrsrQ3bBiAQmFzb/Ksqjzn/pRogpctFkGlWJKEXRz2SJfUuiq7Hs5dpvAjgJFVOL8y3f2CrFtzMZHdILQXqrxISN+PcapGi45RfJDnCv0kieesn8e+M5BuqQCwnLHPcXz+rj0/gocuCr9m/nR904dxBaq9tM2xgSlllgHUQFrI3OtzY7qkOfy6w5SesGtMsp2X+imOjRG7OPTc4DMoyrUfL85nRz+2EgXLxbFODvk4hH2u1uIMTN+eKXK078D7uaou4IgGdmDlSxit9t2ZHJRsJGjAehcR7tMEWUIg58BruAlwtQCfzDQmEc3abQiQNT5f9Ykx4ZiF5+2zAedWbcl7ojgWZWSzlS7C/rcmnL8SHvj7udJjdts57OFE6ALg3GAFHToNcpBqSw9lb8xtHok0GRhJ2pUFIbVFGdxaJebeRnkcumB6VKawEk0IPklPJ8Q2G0ugNDi2UbIXLdZlFTYffEORt9QXSHIzDETuohmZqMN3CP4FEbnjj4dQ302HL63mIp0lYH2cBxl726EagF+v6E8TUyWN1TRyilRYVObos8IyNx73Y8KxTW6A7UYHaFkF07dmLF9ZCZdHR2EXueQRARQmVJZl99jEp7lTsCwY/G0ylhAbq6v69QrZA31VlkI2pnpyixUMtAR7IjMiDjs3HJcJ64FrpH2G6uv2IILC8VIxrBu0ZH8YrWy3aaEtGvPSSSEPhdyWvjGoqS5sptGBNn4QmjfVGE1A0cadEXoXZUsMAMuXbDgG4rBAOHIeZC8s/TCNtHWmea4M8yeNef1wWmBEObNaIqvhaoME15h2DEnzWF/SgelRqLHTUJ3VYSCnZSbfzRttzfxB2XjwTHTTsvxUHNoFXYm6tJMAi2B6EBxTUE3CTnWh4J+Bol3N4bOyhBdco7YnkT2rSSztEWSkJydH+2Qiz1C4riUI/8s7irv1sKVs3Af0L60cpygNXm4jPb8y3cPWDkSWbHb4rYV8AuAGnD+ykhWoQMvj/QfPg2m+eKFXHX6me40ehPqYMyWoNnfY7cp19zRFanYzj6JoQg69FFmlsZVJn7T0iryxjcfyxoG7hbzKZwpolm3cGVL0ES8R9YMBjw3+yY6icuFg2A7F4ZPnVmKU0LBxABHq6yDmB1rm0QzXd8Y2HCeK7lVz1c9xfLERFACZLyuSIjAiS6C8uepZkp5r/pk8RIDyexjiZXn+DTelyl0DscnLwVEoCTcsGfoiaY1nEiw9jN8QW8KIdD/zIVGTOiW4izgW3ykkKFJXmDcRsESb702AWWWh2yM5Lhvi7rYbaR2be0hYeozPJcqTZYgXHJR8zsi7Xzx2nPtCzjo98YhatmKg4vT62dQw7lMxkKF6Nrz4knOhyqf/SOT9L9j+wHjHNYib3zsueECITbpQhRyzqDKQqHwZUcemsiLfxQtEgFyiHOjN+9xEcAAuHYttpBmbDDQItXF96hZgRJAVjo7nTOLleBebqOziHjcTpfPavjkHPzPmugNFtq1UgaAQCs17+V9wFGm22ad+t208+JLLIptrbps7fkp0MI4qxdbtO/ES+QMw5qxjkCljbWU5vEQ6IatcMrUidjkVJIijufakOGObz2zWd1XHbIdSUCXFEhtK2ZVCEbD5Geo5qnw/0bccn7z4Jsq+mFuyQTAiuq8SaX0xuOID1civhD3ZCsEVUpz2O585ESRgrMmtzQ6bW6W7iX6nI/fC7uY9JdH0QgZ+Q2Kt97lZO5+1y2aQWM+W6HDcawk1bk2AbhBkAYPKzTyqdgyzjeaCxe3BZzbMrb8dAyXfSjm8nHsW8ymnVDpMaXvTDsrm3PmuTfBZNuP7HV9oBMWvGW2tb1i+1J4VXeNtJSoAevp+w9xl+zCjv13JPUkW+O1aLaztiXLofjBKvLvDYUWyhQPzJ43Nqd6tbCC2Z7Q+fWci2DF1tEdWF63vWDqqR6FY2O85Ax8mTL+1gziwvO2MKgTkiqRUeXPg411tmDiytffqKHl8AJXeao+KHmkaO/A+7ZHeOJx8Bp+dFS47g58U0/sJa5Rp4/0MebvAnyd66lEWqAvIL7nqTJkdFXoSrG+9qjnkpFVSe/yJkE8PLoSlgwGMPOTB0KdYOIEM6WMDnhtLbY+NRNmjwqNkF3ujBP8DUx7tMcTX9hRGOk8tjD/ooR+1ELXlqws9/2WzuYfz2GPse/JKzspocYpc+neZL/WC3tkWQBYhf0RxqToZ8H6LJoqVguw0zpIIUVfIxCaOmAx+07EcojGiBD/lib+rDSC0W6xx2cpspZQrk8PFYBN5T/Z2hUmjMQnD4EDk71s1c5NFcPpqiPIlByCjonDypo+HmfCm1d07q3G0dVhv0CjBrSZ715HmFI6LAZyXnV6IAOgnNhAshNLpILSdYT8vmKNFcOqVtEw9BknWwvovNsE21txcipeSzlCWKl+iKON3ZoqpWZVFu/JeZTI6IWdFBzAlApRclXvyAuyKlTLr29goArGz25WVPnNn/j02LYmW97IopnsKXvWDRPNAYH23Yv72BOkh8a5ECLLiTo5CFOHIn9menBZ5Fla9WcijBxlXF2C9QunuQDifF52gS+zvSW5XoF8ZS4Z1s2nlxrTRStHgKPQ7q026v2O5q6ytyPQuViRYCp453FiWOt1rkXrlLGhPU226pW3SyXWQReELWDEUVWeJRvjkOH9lLQcMAgaGmWru5KW1xwl99uLNtUdFvzG0rsAqbJS3Nzb3DAdKVoUeKUqH5HC5kpeVBQnPCr8aqIwEsiCLsLXGc4M+N0zHqH66W1nBdmTVFKIKzK8DyZztYmP3deP0VjGCcC41Lz6enRuFOhdh09ilFY8sdWXkqlPRmmeGr4J2Up4jyPvtqGgnAEp7aldGpKUL28hkZdielVI2c154NmkN++PNqzq1ffj8bscXGkEBUN69rFJphm3Pk+JobHPqvolU07PLqHKDBmRKoEouwxv19AjTW08xL904iOllBq+ivgNErTlGWV96y0neCkIe7w8kY20/l3nMLR9jE1UU7yOf28HzxfcrEqxnirHx8Zk8l+02kWE8U/EqMge9Jc3mtTPq8s11qoTPB8IRf2eenCJ249n1rJ9CLVLrYEtGhYCLYxsNO+o+K2fueb/x3Pm8On5fkvYhBlUN+PLzjoFMvAzOI5IrMayMqJDnirG1cFIywklOQov3UPeeYygD3Yo0mefzA6MP03aotqjhRhwq50y1hs/u2fmcyacCBm9pa/DrvcYcE15/G+y95AzV+EWlzEipbN5Z3lv8v2kKtV2cuY5ESAyf/v02ZfO9jvapl7e5vvhI92xQpRHBhhOCzca+japfjJOLXzbqBD7FCUt0FT7+3h4l4hbiblWSvn33GU3npXKdAKMBXKz3eh+GITmf1y00GRVIAAjhOM7DiqTHnhkOjo+UVVboYPN32lvB4KrE82c0vkWDbMZYC+nE5ty3DXK0Ra1yPNLWZFRf7yPOsyHM5hi5ILSy/ML2XEyl5LvlOqj1iUKXxKKKZ9WNnZQBPuZ388Rph2L8q/9a2OOSvwfgRpteaNIW9fDxx5O6sOXeeNp0H2OwmTPDrqOaPdY96WecZ5sN8JhX4gNh88379M28/RzHF9pBKal2B/QUnmJwDrBZPNtN2Q70hNsDJ40elU0BTeBPrSJ6GEvq/GCEXAGW5DWPJl7xAsSrsmd90ysS77cUs8nKFTsQhcFDRFuzY/1oqYkhO16zvWdFhjxOtCOnxhbXzdE/WjDdLRRIayxBzWdPzg0AlqKeFZhZIYFFqZy67+QvRKloP9Bbz2jXjw3z3YlloAA/89UT0afJA41hdKRXay2uJLFVQ79FK+Wgj43M/eeGORprARhN1EI0D29W4GCY3k8ki3aBroLdJ+H1bUow7Q0RMHkmarLckYOCt4EGLUEI9SgFfJrCseO4tYdWqsPSSObNZnkSkQGc+Xi7Wxkh5QLONIRz7si2yiidiubwL5/hNyubjl2vxR/SNwsXa1QFZCRZqM71Sr7RsXFOCIYz4mCefSGCJNu26YsOCf7JGb1drWwuODFiFUERl6t/SShA4qzAzVqltDKRI6APDf3A5mR2xTJXCXE4ck10dCp9uT5blDSLE4Gao1pJqYHiAGQytNuV76AZ9VRAhycreOD4FAcl5e3z35/lpADjHB1ET7bNArfS+dsmgS+dmjYZy733xsqlcFS0sXlgNtCDcE1lEFHoVlQSevCociOdnsc92+w4faWXDIFd0abY3sPxDh5AVPkwMrZyhPKx9Kij51KjE9COTM/1q0unWZyiXdMD0dVEWpIDAyHPwfaG6Zmb93pnTDEpHVwx2t2cl/qkg3C/8F70mXO8bSQh+o1Voz5vrHbxQBqyKidTJX7dKbkfYmuysCKyXxnaCVHKi6penL9LpLE4ZeojaLXQtQoieTvy/aStTv4a9kbxxNq04+u5/t43TO9pR+SJkvP6xOpMWRTtnqJyeuJa9Z3x/YetXd/2qujRcIam6xW669VsVh7ZNiIr7vT9VHuOnRsrD6e4nygCkLMMWQiAlXSHTkTDuWcOErWMQoQg7KfKtFytHKebteZfvwkEJio5ZRHgzQrprMLqqXeiILpypjYPBCxNj3uzN5vKlR9wfKEdFACEsUxQLcqngO22Hi1A451eb4qobbgWObA+xQsANtGmvPicj6ZIgRi055ELBlACNpULzmgqjuoGGhteIhxVHtaiPDHv1QEsivVxLk6DnYL4NA+jl0JbyRZ/WdlQhMTYSMUAO7dCYyxFrcSHom1GuTG+WBSWBM9MHQFIwaCs1KC3HEOyjS5TQC7LzwyMDuLf/WClaNn3iX5gEw3Fe0qmOlDRackrb8uwLb4bLRDY5M+KJzLavMd5My2yHbp0QgD4xIVcTbRiHLZ5fC+UBuPvZTgZiabUZpJhVaIXgpDM94uKjILmS+NCahyqsWFUc9Q7DxHCQll8jFM57y+RpzQ0khEvxjwA6GyIbxBDVAWMTplPFza6xOV3sxGg5LViHW7VbGU79v2yGaB+BmG2u17I3wMkzn5WI8LPOlS8UjvUdYl7VL9YM/lvkRCY2zRKrHYYOSjp1OYzKobezToEylKzQyw5FtxoBsIa5wvbU7yuQGY9gxwbZcIlfJg8KwRCkxvzk1Y06zMK+ZCoOqSwICN26YK+y+t5Seln77JKnWyGOstt614ElY7Jw4PrtT0HQMTEQ26+IvasRolxTWE4m1B6UDgzTZT3V879RrSx0Kn4fY8NuRRpFRVAlFrs1l9NdLW6SccYhv2VtOMz1ygJxi/mRxuOGcA0JxrnlkVDPaZ34mbVR6Vi3vyiAyFVOk4XVUcxF0QZcGyrGxOJ9zUd0xBdPLYgVYOlzcr9dTvH6j/qQRwec05cqq9Qzoech0TBNu/lcx5faAfF1TF/kpsOpdPl0NmYyjEciPQcF0U7EXajd72FvqTK2Kb72Hzzu+tYKFm6mU3fMqe3e0/kpiTZn5URfU7u7K1QnrhBn9uYeIuyvf1dROuHDrnupSAJJxqx+1Y0hRKH3hMZ6NdWuVs/ECHRaAhloXPBZ0QpFibrWzroqediyZykEpmhImMaCW6u04fGqMEi93kdglshTpWy1jAZ5X2h3pr5Z4lGU3pk5C/PGh2lwXHbdyrJvg30JhCcVHushoJ5b9lrJpCQbM9eJEcF9EmZU79doTfr6MIZXaBZLsr7vXBwHIzEotxbrjr8KqLdiGbZgJLXkuYct3TS4m85NjqDN2sIrq1j7PI+u5TgU4vW7YnuYDLOkebwq5D7NhClCH4CHHy2yatXEHkIxnkT5Fi+F45pQtDepUqSfdFAAS7nf1qM6bCGeqxU1YsFBD3NgcR0IadJQNXVMHLeFb0LRK2aBYqGYwCgRXol34CeFAahVkksKPbPGeZr8XZRQmwuWK1R6G1z/KBqIGDT2yecFY85IOLop+S10Jn3cMBcGEVWCg8YTjXATWmmpofsOhGA62gHEeJmehSgc2ObnpJXgUppysINWM4yUhmNAZnHnLWraIuRZcOhG1T/PvDa++9oBRfrrdV6mR6ikeDCRnvSOa/Xd32kbbIKQ3nPeqRd3Soh7z5RzI/csFJbpF8b25G0MZd8Cg2UhTwQAIVEZ3oiURfO743T00HuTVSY6FODXRt6RugCajtlY9hVBnpg3DztrtOEpNaVxOdO1Lnyfb8o09WFa8Gu4x5no81RQDvIi9mxUsWvDP1NLy0oPZErJhoNZLOv0/0EmYzrJxVwY927kRs5Xa1jrwLRHuyN/Kg5WpCEuiv7zAl/34jcXJT2ho3DwlYr85szsIQC74E2pX1gFeP8sda72rYlkV3Y37MGusX34dG6RY9EzZKv1u/6p0q8P8/xhSbJQn1Aqgq+nDT0uQjEARU20bqyEh7SJSBqdUiGSyGjbCFy5BhGNfU/RnOv9DQYbZzfOfrOo24/ovQotWKX0NiIMmcXETSCINjeT+g+cbKH6qQHHC7Ge7O9YYUOOf+NQh9alh3HgtYw+pOjK6jvog4/chPUyWBtSO+reMmns9OvVPQnAjbqil42fSs2JM7IJUhqhRAIHYItnGcHD3JqGIfcgSJa98b3WWJn2cArqkcke+ykfHagCAWJqlUqr/rNpH5COFcWUZxFCq2ktZ9bwdrZOkBOymhfQOJXbMDe475apMi6XPTd8UWrRBNrK0TMA6r1s9LZyjm3Nm4oqYsTaIUdvKIhpuUcyOgwojw9a5X8FZqTBsD5HksTISseat5GOe0m8rLTQNNwVipihpCVONCbFFqyVV3dNuRbHncX9+wOEmOXKBsFqu2CxDSzVdE1qs0ArM8TVlMqvF53zNKLIFvLXwZKeLKp7qGB0ehzn7Gs7VNVPN+Le2ImWDqRGHcwfeVC+fAYT1Gu6xUNqgbbd6IKguo9ZdcWBFEaj3RamOYyrnllWqhfJawO2NWwY7ZjkOOxcXp0ZZdFg4fiFQxk1JopEVkFLuF0J88ouQ5G5Ob8BgONWZj+kc5Gg7bzwVsR5y5RPA+MTvHq8T1UGX47CeyaLUb0jOpzg1Up5DcR7s/2IT47ejqvgSwl8lHzFCgUNVPm7Owc8YkLvIcdCEeFcxLhEEkRwmEYlTiJrGbaaOF7T9R7KxuByWFF8o01lujKkaW361XoHCXyEsUCmPj8NhO1uChHj2vp5LB1c16A9saALiSg+y4CCvGo1LFqN4LZ+RmJOZZosTMIdtdAacD5F4R+XwXLsuO7vLHiziR6td55VejIKUj3Mt6LrNSzYQl8J8F3tnKq9amN+ZtjstUP+wHHFxpBQeQuuYFYSYYXFIjwI5SdQdOj42JCbQYlFrQQEbDwIgF+1xOaNaka+CTW5vWWj6iamoTZ1ODAoVPeGON8KVnuU0RDk1Oq+iFq1rNMN3Ki6VBhb7C3KyMNAfkFGaypQ64ZuYoL8+nqaFOvDYcy6KHk2Hw0qLtiNCxzOig68phhiOTMiAoa0bdFBLCLiqKI9lJPxJtjfrh0FEtaORfHYUzkqni47pECIqIEYChoAiMKzXRawp9pbJJEdrsSKs0NOpj+ertwY8+GWaFloM8RZXRqiQBAe2ZlmB61WOupTpkOyvSofDcK8jnOSv2HJ24e7SH1HVDM//akw0FY4noe4x/poOxdQ6ImQsdB6/f8bsDoXYnaZJozNlhuVjrSXhlFpYFJDlVG+uKjV0i8c0ad5DG0Z35HxGFdoM3YTwcox9C7QB4mImzRvwQBXSfvxx2Ek48DnfOFPaAsiZSPDUtXTNox3S7FHUnyayIpmdpZvF3wUBZTPPcZ63LZh2eLwKSj4i5QOHpXrJ0ycG4KswhiFmWlRTpcXdEXKnjuDgva9RqImhevRGLOylkqLYkutV5cQVXSUGP1xugzhbD6wTA9D+J/pjSzJNgbI3I9SWwIsRb7mFNZDlwbebz3VKjO6jI9SyHCqR9U4lyCaDI45k7OV0xOjpUxcEsuhHRBv+vF10BjBVE24pPOtaWnQBtSVTsbpwodC3GUA5V8tRrfDZE+HYzcAKfHmKd5nbOUuGKiob7vw7bFmOXnq5Q6yam70Ebad3LEhOtMZvJD2hPbTfjNOgTi0iavRBv47BH8GG2oThaiaKCdDnubsv7InjYnIq9ytaIdVnIEdwadPHhnrDRr0XBR89nCVum+DzsZSDs67x+ron0Ih+VmHVSIdJTfLjSza8jvR/CUQVCJb3buRy2aznpUGE4PfM9Fsm7kgH7e43fdQfmlX/ol/MzP/Azu7u7wYz/2Y/hjf+yP4dd//dcvPvNzP/dzEJGLP3/qT/2p3/nFPDcXvUjn1AJyAA/TxtsLA3NlQfaKiZy5yeQmBIQoz8qmXCn7jYAhDWNDjq6b+twGfAhULlKepgHRrvzcUL8Nz7ILzm+5gXsXyq8vWuqO/Y79X/R+YhO9PYlnfmzAY5RFPzf4wwR/mqDPguWZofb5aS4ov7/fMYp/u2A9UThHohGgrVJtuj0k/te3JK5qRP/Fl9hZ9H+QigYp166MDAwhfQ+WDmfvmpNG7w/bRA8+NFIm52fuq2yGf8Xm6z0i20BM9J6lw/JIINAfprEJBKqWEtbZbsCCwGs3vUSgXGOTCBVMu4lUTswhuwlUSzcEwpk8heVNDyfZmTK8ZkpquSOpryKHdARmG59fYjz24UCF2BuOWtwfi/fkO2cn7nDwksydxDR/CjDUUfL9Q5HTR4Ouk15EMFVZkhHzbFWS7TsLhDKg9Jlz2EKi/qUuSBnJhJozEgyyMsXEFBpy8Xq9QqdIoWQKJB2WEPdS8WG8gQv+ydbBONuEZdO5uIljDedFxQehFgPpAeiw5DVVHbupwyItpEo4vro9NyI8kqTZ5KFYOK1Gkqweo0eYoNRbC8EC569dWUipS70ipj1D5j0aBSZoNH1oJFWfkkPl1VAvHeus1CrELBySdpJSoc2NYvo4CJe6kS3QLGtlQOTC78zvG0mYPtIwLdZVdru2G6Yyzu9Gp2E7hB09tUqrb5WoyePDcB4WrkV9Vj57j/MHoirBMSl12QVVulroyqKU9N9USvYro43QGINjCxInnWmfqThuM5u+Ll+ySpdkCt/T1mXLDgfwOEV5MB1urIrlHUmu8qyDn7FoUAO8nlXm4H2stIfLaQrBNQzl51UomHZF8qxODluI6snO0I8h0LcK5Ls7LPc7YGd0ZjJIT5SnS7TzwOCJZKFHoCqerUgmr/5PWBiw9+TS2BgTvZ+iGipQ8UVLxBPNh9hbzHmAdjjt7Oc5ftcdlF/91V/Fz//8z+O//q//a/zNv/k3sSwL/sgf+SN4fHy8+Nyf+BN/Av/0n/7T+vMf/of/4f+yCzrQzvy7HJQVyHRDOSsAq3EaqxA8a7njHOlZYw6oXdnyW5ZNl0pxSh2HxwoE6uKMZuoeBBFpAnKSUcdv8bk0fBsOi1/3alGuRx1iawA08o/tWUKPJbqMnjTy1lRBbE+M2jSjfIBOiLJBU3tSYDbsrxdC0JnXBbg4cjwiv63XK9q+E43Z8HU0KxQyuomIX1LrwyI6aqjKp4yKNN9BOihAwaGiHN8WY1mkzsyrJvE0EKHpWS5k7NMZ0SkdlIjcgq0uSXxLXkcSiyXeW77Tw4hm8v+5QZVTlVHOVS9imUzBUwmOCKboRpsOKVCRWM4RXTG0DmL8NTY7AESSopGlBLE3SXaMBK2ePcs+C/GxUfJJCW2/aAFf8v2OMbbBcaCaMDcsF0SLex9S60Ga3la8qLKyBVkynhA5wuh6VDU0Q5s7WqjGZupEtg34dv3yvJ/hmGyPxS45KE2N/3dB0+9vELclyVPrQ+ZeQxMl7IGojwqePKdz80r+T1V5hJbJVmxrbBoWfCrOAUln6aRoR1RkvxU1a888p8YaK+Kphg3KDc1R5eJZYZfy8ugo7sr0lO8R5FkECphzK3ubEfGTElzTE+0dFWylHA7Z035ZVvxppIwjbXMh8BbPlIhfkaNz/p9GsJmcvnSuvMU9RsC37YybKE12Hi/C+s7ifcR4nBJhIUJaHZ8D1UVwuLK0PNOp5AvRseE6k5FqCl6QXBOtyM9kEUWJ66UNTa5SkNyrSCD5Qs53pruOadehjXMuOYQ6MY2T4pDTvUCOyvNvS45DIVyMgfxFEJ32D6jsQaWKBcieQ+zNFZmHzBw4UdWSZlAnxy2dTgHbYsR9ZPpRVwzb+TmO33UOyi//8i9f/P+v/tW/ih/7sR/Dr/3ar+Fnf/Zn6+fX19f48R//8X+2iwnhyPUqjGsH9LlhDf4BS1UBO7M1uR9sdCR1RKlaLKrmlKa+6rVQ7ZqQ2ei0q1iTuJbaJFOU52k6O1GmrE44L9GDo5bwkT4RyhYBpk8mrLe9DIztrPLNCe36ymhsecfF39432IFevwsIj84U6PK9YQW4eR3Jb/Gu8JMAbymedHrchVwxN6+MAOXQyTXxQG8+7OB3C1vPnzU62EoRGyt1oeQQZIloe9CKXrLVN5wkuZ6G9chIRAywd8ST/UwPvL8J47LQocLjBJkAD6M5fzxhedOxXkVZ4N5HtLqJ2gFgfcuIzjWMmQmh0xPFpew6HU0FjkQ0utMJ7dfB8zlHyunQS/BPHqdK6fjkLHMGo4gUMIPJEHHKhbwGHOy8n+VtGPcziceliLwydy1rwO+rQr+9Q7+lgJMdbPBSNMvYCWez9NOhx0Cv5k6E5coGt0gYEclTIHrRpFKu11HOGWmefhs8qnyfAFsUxHOUHokJJqEz5A7mozUwCwXsqsMmBUwp7mYKWxXTboWtUvNnitx6LqnlPMU0G87QhRkQx8lGE0AA6KZ4WnfYH86YwvExH9VAWV6ch274NK0ZS4gd6MfG0s9FaXAlqi1ModrZNPBxqmf0Hee4Xclw6J8okuVXHW1nrNpYKYL4qQaHb7x4FRKfWa+NwmGTo197tU2oDSOiaNfBndt9ojiHfVrvvByQbFx4+jHH9KBY72JjadxwbeYmtrxh9NtOXAd970BjmXF71qpi9J0RuPkQSC1yA4vA5cxqxn6VxiFKsSN4wwT4xN9NH1rx0zQcvNJoCacsu+ba7FUJmQGAd6GzhUZBu7sOf2IZ4fqOxrJf87lKit65Oa/XwcV7CuLzGnyjHTv1yhM5Qh4pfz1qIEQsdnAIsKJsbr8NhP05SKSh5ZKOSI91wskaQdNsbPa5EmX02eEPM/x6xbxfsRyZDfBzq6DOQzbCnpVBUXLqdoEOL9z75HaF2VQ0iKwa0vNA5DIb0B6Cm5gp8g1HLQMfNMd6FwFSFkaYRPsYYZuGg+L0ZaYO9cRUeL8x6PsfoWaB79+/BwB89NFHFz//T//T/xRf+cpX8NM//dP45je/iaenp+95jtPphA8fPlz8qSMZ3bEhyIoh5JX2rMtQ+QQqamRZmVepVkXY6fWlJxkRdpK6AAzhq/DoiwVuYKoieQ8vUj4JXZLIRi5MRT+Gy5LOhN/zWlNE7j6MX7GrE9WYYrKF515kMBPmIi1ImpECqaoDB6oUMsa1KnFSFj1z6QlL24Cgi58TP+c/cBFBQn1Uwqx0HvWiHJjeuh5WlHBdS4Mdz+FshlXkWMGl8I+Ec5LvMLVEEoGI0kiJHjweyEI2icwur5CYV0FcrVxr4/jn2MiSY4cLFKRuJ9NZiGfYEsSaE7FIdC5JchjPOlA5v2heOOS14/8xL0pYSvi7C9GkjGgl3mVGUI6CeyURl9w4DcWD2lalVGpoe2z9B8VAZ4BAnWjQh1CgjDkOVLlzoirj5/KpBoEvj9UuuSbpjGwJsltn4GWpcv5fo3qokKGE9y25PSMQATgO1egyeQstqhcSeVnBsU2kABybC85vTpF9EB2380A418v+5LtXjBLjfnkeWVBRu09ePDsEsuV7G1LyFj83qflQ3zHAwjlw9arGK7g/3qmcZcyZnLcbG5vpYRevtKc4hu4QiK6ScItycC4qoorgPZyWrcx7NmAsaf+s+gMge6tnZ0k2hgidhS1pHLPUWck1zsif9jqvwYKJsJc2wJbixsR61C1XbvN+LuxE/iw/syGvS5eR2k47bGOt6IaSUKrT+Zxh92GIz+V7Rs2hSlkHupS2bjSvlMt3cDEnee0se8/2AZBEZFgkMrhTHLMLO/YDjv9Vq3jMDH/mz/wZ/Gv/2r+Gn/7pn66f/5v/5r+J3/t7fy9+8id/Ev/df/ff4c/+2T+LX//1X8d//p//5595nl/6pV/CL/7iL376F1v3KjzhZMQTZnesDUE6c3rFIW7jB2ODvohmWAXTo1StR1ky0yX9rMDbhYMdLHN60EFOi+i4HRV4Vqw/doYfQ048Kmvslk2q/HZFTy7KwbC+NaQQnF2PklW/o+R7e4ra/v2ImvpdZ4Twdi0IFQ9zedByE42nlMgLFuVizYXSBXoVLbGjjwjUWRJ6tVZbebvBcNgE0E8mQniRkup3vTg1bFrHSb2+tQHlbhwe/TBRcjqqXMrxSCMVC8ueJhqUZ4HPjMD0WeE3jErO75gm8SkigYn50HYSLDdEMS4cvK1xaEwjWQhTETWKxo7XBntnle/OXjLogvm94rwn6jN/UIrchdYNmkO+w7YEmKMKKcmjybKPVNL0fsLq8XsVYBFYIxcotU0S1SmYPwS+li9xvC2ejdEyiAYdWPa8XvsQBwzEzJ+jfHCJ5oJXnWnOcyPz/tALpbNAbhwKHEnaZsoRhVRByb9xEDVRNaxn6vOsS+O5Tgp/swDPDX1REvoWIblPHW5aTsB6mtj87GlCu12oRXJY0dQwiWF/OHM4ZCt1b+hQKBgJPq079A2a013wtMw4nWas62gk2MTQxGCu0BepIncp/l9fG7s17zk/MBvat/ZY365ot2sgQFHxNjvao6DvQVLiOdKadyvw2Cpqx4cJ/Ub4HrpguSO6J5u0QZGVLaLNELpK5Eq6QO9nNtnLqjAXTO8bsM8I39nUrm02TABZgZNy9subsDdglYs1Y0q6sZ3H+sbQbz3StU5uV3A2sqKIZaQRiQvgV0Si06HODc6vO+Rhgq6oapF+Hemw+4Z+x/sp/kyjvW6PkdKOdhsUP2uhPE3E3DJd30BRRmDwyCK161e0lXIi2d9m2vvqrJwCeR6I6CSU378G+UJXiCalTGX1XdotQTsL+o6I+/xJw2oYDWax2axXIpRVmr4oAzYHURGgZCc8bbIAWBXrMcVnMIojcv6tsReEnU2EtCq8jJVoftWBE0n/fs31DyfivX51hWsbjXdjrHyiLIRdG1jV6kT974jmy2OLQD7aKwQRnoJ1AtyyWtE6kRwYBpfxcxz/qzooP//zP4///r//7/Ff/Vf/1cXP/+Sf/JP17z/4B/8gfuInfgL/+r/+r+M3fuM38Af+wB/41Hm++c1v4hvf+Eb9/8OHD/ja1742CD5xiMlAOCIMqbKozAWmh27g5nkOz27rrWduNRayOGCxSUsgBbL1KjdRYIn8vHwH6a1PLPnKaCuVG72i0813MxraeKYvz3shJBX3I/Iius7PRf4ZjoDT6Y47YhMt5r4PafzPSBcyfeOFXqSxQtS8uwEiMnLOFxGhDKlroDgNtZjiPWTe9OVYVI7dZVMhtPnIFg2qvHY4MhGZID8HH1F8+jK7XgJ4aHG/ec7NfMvyz0yxjOZjm/PnOzC5/P/LKCrHuGFwN/LZY1FXpZro+Hk++zYCm4xEWnkxBuKAaTWeY8dip5N0ca5NxJT3VefP+xdchv9xLZcNYCJVwXMx1kClSfLI3j3wcSv5uRRO+36HQbC6furn53WqpoPAp9MpL4+tBH/+X1rMU4m1Hc+ePYfq2cFHTBTOJUpWO4AdKgjZokpbXQsgnn07z2N91Tt2nqfaFGzeVcnUg7+zTC2HLdIVsDbOT84FPtumxOdrXaXdi0h5NEClE3GxxoP3wpvPqkdcvtjtA29eW7XQeInOBUpRqEo+L1BrMpsIFiJ48IFS9SDH23i+ktgX33B2Ns9caY24+XQWNE+AURIdy6zGNtJs8LDrG/sCYIyHb9ZC2Nzk5nki6R7/T67c5h75cw6EpGOTL8xfjG1lDTa2YYt057PmdfP/TvTI8v8q1cTSE6FpgbYp57978FiSQB73nqKBPxJS97/wC7+Av/E3/gb+9t/+2/ipn/qp7/vZr3/96wCA//F//B8/8/f7/R5v3ry5+AOA6AdQL80FUcbGPJqcKcyFIPBAnbm1aVtCKSXU0+4b7G4dxFpx9C8tzKt1YVVPwJp2xSieeUbeR2oapIiZXWWlEL1c3IYHoKAgW0RLHqV9ZYQUzAtHOWAZkltK408hoqP3E3Os8Ts50yO34wQ7TnQahChB23Uy0AMt0tZhS8O062j7jhbCbn5qjHLfT7XpJOHMv3KGH8jW1x15EX5g5KErImXBsjuSgTmmMIE8Ntjt0ETpHy1VnYQkGaZDs++Qp8ZzJuwM8HmyJPCJ0T2Cae6TY/1y1CauUuJjslJ2Gl1YUbUwd9yy9O1xCilqx/RJq4gk31eST5e3fE6/XbH82MKS0NwEolEceU6Uti/no3lJ2rf7hvVth0SLen0M/ROP6OZm5f9XYSSVROdt2fvbhbymcAwr4nLOy4zOAUAeprE+To3CW5Hq8Q1ZLvlURRw+JUdLMdILGETls8Kjmmea6N3nPFI16L7XZz3TYpHPzgZiogYzocS2ALY06M0KbUZF2FNDE5Jj3SWk6g09CaVyKdT2uOw+ZTcejzuoOq4PJ865z1Cj1ZC5n8Wwi2qh1HhpjWTrdsO1urztaHdcwyIkBGukzWzPFgotKgrFARxbwdk+ebVikC6RWsQg4Ss3XfKyuB7agxZaMX1o2H2nYUpJ8VXQPpkwf0JUr9/1IDQ7uR0Kpotio91/m4R63zG61VWoDbWzqmabPmgR/i2mTlXtPFLwTzqG7sreMH88Qc9KNDq5DcEdsWsrLR95alFS7TUGcFBX6a6PTd8ptzB/Z4r5yjJqu11LIn99t1JeP1Is+qxDWFHBCqpFOU8VmJ6B+dszEeyJWkjtWbD7buP6Phhk1eBggEKSLuQy7ob2ib9ZqjS3dG5mq/497aFhedvHBryERoiR+5NorWZlqTN97ufGCrb7CW0KnuQ5WpNcr6NiEqCjlA6Xgs0MZ+pdsbIMYQPZrBWZ4g4bLIvA3q7hCEXJ+RvyWNAwMhDxfvXElLo+afApQxiwDaRWLJDklFG45x7iNyvksWH6JHRprlgN6TeDAP+Djt91B8Xd8Qu/8Av4L/6L/wJ/62/9Lfz+3//7f+B3/tv/9r8FAPzET/zE7/yCW/Qio9yMJnx4bRcRSXIvgCqlQ+g9lDZKVKMMbzU8oLa5ZlVDoHL1ubArz7eJfnzRwdZ2GX8bBv+lYXBoEmWpcwgn/caTTpShPO+sY8+oBhhCWcn+j7eeJK1+1prwAEI7BhV5Z1twzZxrohHJv3DQ0YjGWNtgNvPYaJfvJR2faoCY38meMoJqVOU6cuBV0SMY3jmwUZ2UTS4XF5Fr9kbxzIkrIq8MbBucJeejIkDZRLuVG9+ct+uFpDeAeqZsNFc5a3EiHKjgtyKVOraR0jYCVXCzT0QkHTTf/G1D9+XiHNv3kXoqWxRQN2XDuVa24wgMKe8cK8cFElKPk9eMe6xIPzagum5eL8cobXCcvzoN2w/moPQQVdse69KikaF85ndeCr/VtQEMVERKmyXHSIBLPoqM954l5RdBUBKTgZp/A/nwMQZhB7JSppqfmlSEWohB7OkXwFGijnnedO4FsK3/ptykCbDlGs7v8Rls58W52F6n2m68RDlyjcT6q4oiw+AsbNHsDMbq2cfckviONwwZ+63tAF5UGw2bUFWFucbSJudr7SFC1jDGtI/y6wp209blunIM1CynRqx323Bqts+0bX0BYLTjSO6Mo2xBrg/3dD7IxfJ04pNKEGveg1uyRTNr7gZCXSrlGbTFOEmLAEXDYWycq2zdsXmnOSeyEjFPH05M7bdpZ+K9eO6B295gOW/6uN/Pc/yuOyg///M/j//kP/lP8Nf+2l/D3d0dvvWtb+Fb3/oWnp+fAQC/8Ru/gf/gP/gP8Gu/9mv4B//gH+Cv//W/jn/r3/q38LM/+7P4l/6lf+l3dK2UPc+NmgQntjDPPFfmIvWUu2+UmKZc88RS1OmRk6ndD8a9LrjoFwMAfr1W9UpqiACxIGavKiA9xsvZlNNO352hHyZu5Gct7QQ9Kdp9yLBfhRiQY1SdAJxAx4b2EDlX2U50lm5CAL2fAgGSgtlwVtjjjN3bE6Y35yrhvL49kYD43RnyyRwRNMfIrsnPqSZuCW2HxoGfG6X9I6eNtwul2bNiIYbbrgNFugl0I1GSjM53XEgWwnbzxy1klsMD34XXfR1aJHtKSFO6XQZKdBUWuwv/PRvk2IJvApZYH3ohNf5uYRQ7RWt0RWiKCDTGwY+tEKLUQUHoqUi8O1kYmaBFiWJCtYdO8nIbxEK7jbn4EHoEgZZICC75RqET4kNeP9RwZWIzPUnUTFh1ICbBpWJ+Wa5Xqg1HTx45RJ5b6PzqQ8zbqB7QXZRRh/hYrhO/7txvTnxXRCWFTfOiVNoiPdP74JQAgByo2wDBIPlFyjCrYLyzYiGb8TEdQ6n5+Wqpc61LK8SjiaPBR+VQ/H1cp0/J2i/HCSKOpTf0sKBZCdQ2Rl3xGamdMLi2hi6Rg7ye5ymE6rRaCQAoLZ0UKPO9YXpkOe/uYw3HNCL9nY10YQRC3iiXoGfB/rsMQgqBXYnGrleh/3GitLxl9NvI0dBnLdl8KN9Xe6ZDdPzxFdV/bPJN9Vqksw3Vq6ffdvQvrYEU0371217oS5JIU5U2bZxdE2n2mYJ1slCUMFVjc7fRwxrIdTirE7VP5Mx/p0Nktz10TsbGLtmMVAE5RTn3zis9PN0LeuhEAVxj61uLYMcx3WtVQ603BtsZ2n1De5KSk/CdD3T8qY2SfQeVo9MJuo41cG20SRKoowOyM3JwVqk+NcjihLtliCbG2vZOHkw/NSIpIXPvR6Lch9sT12jaoL6xfepRBRdBxirQqxXzYR2O2bGVKJ5ENZHsDPLuDMzGljH7PjRKIgXkCqy3xmauifrcrcju3dlvKQ8/dKqHd8H0gerc/d1KW9ulKoU+7/G7zkH5S3/pLwEAfu7nfu7i53/lr/wV/Nv/9r+N3W6H//K//C/xH/1H/xEeHx/xta99DX/8j/9x/Pk//+d/x9eSVSCzlJdm+9y0ZTgHmduuaJ8vnSfAkFcX5to8ve2VREgARRgCwIkadfbZtA8YkVP2dbGDVTSRH0oEoJCKhA4np/8Tk4vMRJQHmtUWDpSCZE+5ZhfIQiNez5yRRlYVQELumBsKYoM4HRXrcYIkZLsMQ1r8mPDqPdICfmatvS8Ca8NJYt4bo2om7qFIcms+Uxil1JEIVGNELhgs/vTON0iWRFRXiowRtVVlUj5HIiUznSBTCfGxIPTm+bLpVs6HLnBr5OhsnMuLPLKiGjSmkrBbnAuIEu6Ya/mOI5U1qs7iZFPMo2Tgr+M5WDoZ0VQ4m5Ys/awcmWP8zwJ/0xkpn+L+CzHSMbZZhp2owEoismdLgBiHTBcRDcCIhMD5WMqxyReKeZLKt3DmolM/BEgkwNHDKeF6Yb+TuqdGYTUziqy1SKUAn0Y8Fm+YhWlDFb+gS6U4XO+K/TxSi9+vF8+WZFvcFcn3GUFJlFZ7zsVc3hG1e1ZFeCAAOx+N0tZN9d1mjaaGUjaY64fNe+0CcYeF3bAdRpsICbsUa0LPtF/lCAZKUJUa4HtBqrqmHqK+CGoT2RWPMv64Vx/PKZ1BWJap5rkTOVmvPexgrNdMF3cw/Tz7UBcN/pmcpdpM1PpCbPKuIygTVICzIT2Ra7LDZeVkVFJm5VCBdzF+GkTQ3vLz8a6CzyjnWG9p22NdQ5zCZlMgJUu0u4g9BSeKzXn06kr0tNDJLTJkiLUnJUxnPZxfAXr2qxKHYzu/nDv4yk1/beOcFig0lqHgXPYnkZxNnzab4rNnHUJtNvanrXJ6VZWCc7beQdrgZoDI2IvyOT0CeRnf/0HH77qD4i/lJV8cX/va1/Crv/qrvyvX0pMAuxiBucMDxtQPQzGPuieCdgZ6OC7T+xZeNNGAfkdxHXk/MUIIyK+/6VXhMz02titfg5HeDJ5yhcDoP3MMZdC7FXiOSHdnMYHjhe07KyTCu/YdkRd5nEZr9pnfGc4MiGzsDIdPplFn74wk+tNEoxNtwjPfqpPBzspmU6ZsVuecwH6kOqWHxLGcovFf9IrBjiqytoQGSBd2j357hnsgOfvgonQhQhEVIZ6R2ZmGUE6tdEPE4/nSgTtrQbi25zNKOItF7s2JvudiyWone8PqKFmVBqI5n129Ukjs4ROKs+/OmL+9x+ICP3Qy+ndEjNxRHA5vXpUuRR5LA5Mly4jPB1dmelCs12A1VRqDNfKvqZmys2oCB3W0Q0c/NjbfOjInbndrpElCy2ZHFMvOoZybDrOg5k07CvB7Oqw59P0cDdT4OY86SJ+tGpBljxBZG7wbI8W3S0G/uuvA/RRwP9vY236zqWRqzYToSTohgtEhWjgGmk5YpF/92CB3PSI5KZKsHRtsIpphq2A1VulMG2Gn5KCYK44241pPdGTUANORFnLBtFvRu2IOboki0JJwZbaCbyqGHn14BKCDZCHKdr2iP0xAc7Qdq3ckHq8Mt2Q7Da2qEtvTuUs7I6fQWUqnJubS9EjnPhvfnWO+6FMjiitSgn9rRLjinP/zg3DORZfifhO2LKrqPFC+SpGA0bSudB7ooNqI6J2btnQqzGJnXIeB2omzakVWBnTTo2C9jfPGmtRVsH55ocZOoCocVI/eUeT6tfuZxQeu8JsVepqLJ7Wt9Ejp/v5uLRvfHvVFOp1O+noXzu7sJaq2vum0DRP5E9kxGgCmB8H5yx3YU0dKz4Ie70+uV+C0Qypdy3O7cAL1vrHZ4EkwPQvOP7HUJt3uo3rrZgU+3gFzlmrGhRMdj71BQhBRMvBKdeCJqJ3viDLCGWzmviQ7gweqYzaFAq5THt9D9HMR9I8WVtwISjFcnjOgMvZUem6YnqkJgwklQsdeQnFdYTqoKBR7K6dUAunjgoo0YaYzw3nSs6D1H6KD8s/9CJJpIQY5+aI0zbvwBey9jHq/8kttCoCGsyEadPkoH31i86P1OoisJoCEop+lZxobwZ4wKEIgZ8s/KYRgcjoiZxmSw5mjzZ4NysmSzoZDg4HPTd820vmVN0zOS8i8e0B0FnyDnr1EMvJ2IIWWJIlexsVREzJQIu9S3XEFJDRWA6olx8EgSwiDBTHYdwbMGOz8GIdqLNgFEoJJHkTK6oOUQ7MEUS71X6IcuSTk+4BmKz8bZK3ip3SlA+aAHRv6HlXN0q+sBJqkI7qoJsyJWJDhaEIqF+vhSApAGHxnWG82cGc6Xzkvg0dTxFcDeysFhO/LVA4oFoWvzvMf2xBDS+PmGDndVUMsK8oYC6FBjAGAJmOOJYIFDIQuUcFEQvYGSwXio8BmuWxat1K0LHkYGqiIqEeHYxQJj6hVhygulFUt0Yls9R5zbNuAEEAJqDVEJ2PJn7NcuINOxa51PAfqkt/b7TrWlVUS3bVk7r+nKRGml3K5ZvWQZ67fEoEMThfo7OM0pMW3olZMSUTjyJyXGqhkd4jz58tddC+WXNOgMzs7/JSBDZ99emjo2cNKArWcnOk3oDZfVgYGvyqabkrMO58N1nIgAwEwVOpYjM5HrzkkZb+wsqQWe/6/NC0UFCqbiPbIMcpPF72wdXYV47MwMPBdrN1Tg+2IJq3xGXluZeeSH6hHBiIWQmTrbdjCWL+eyIwG0nxDO57pBXHAklfWHP0ANm2cNuqviVDEmHk4KD47EMJzhSjGulpv4p4DTSkScJSoYzOW3nToIYVd9xSCBOAilU6pdethC6tBYG4uYRJCokByjYsDIYWhCEQ598kl0jlT7G8HQBfavpLJXzcK6omsJE8lm5pmC5ieQZhfNKpMFJD7Y4ACNwZ7/v4gxvb4/K7Mj+IRxiilyaU2QRrpdpTonSNUXg0pdA/NCNka/YBJs9kVG+iFVPoSyEK23gYIxaV4V49+F83p6WYjQmBzflTVRXtQ5k4TSksDMI+NsT1zg5OQ3vd9L8jXJoz6/RRmCziu7Xs1oILL6M+xKPOnyVbP5l+zoc1RlRPQpqR3b+NZL57lrPH5dEYQqqNS+VqJ6JBKpnbJRN9soFn1UGXY1wOOB1CpnJqpWyGkdBibl+S1rFJCb5IVLV1GA6+zloFJBAKzR2PAMCxTLvbw+o86xN0AGsRFiXAB8H1n5cp1v1hR0iKaCQPHexrRhrTIBa/RiNG56CXzy2vc0yKjcVhO/YSxoxGa3wYKlqm52HTquXOOJYnaMUh8jmLgQ4jqJKrVTuQblEppdpgWVImkhAR3RmbpnLlHFJaQeKY4k/wnGOKBqwbHxoiCbHyJbfnvVk12K7a2037h2ADAfl4wz51ROvA9y4zTcRHxksUXifJmJyJUG85KMi75MzHXt/2N8hLhkIpxDNtj5PwF5HHlPOlCblLYLVml0j6UFycXJUmm02PaHX4+KyooXY9y7qupYKKxMTYpdZ7tGVKgUhyDb2VMG78kuUJA9eod1bftJqrwXBig2LBH+hQO/CposX5giCAu0h6b3md61OqxlVF4e6b6qKbc/SqVDksU0m6pEDs9Bi9mQ07Vc6zvCDg0+gltSbB2YKUKLAQgHSPqz/kcTiVF4FC2JlMf5MsE32OV0g0Sl0qZpJ6SBoetHBCgvjftVtreDfdwiKpJqVRXGfGW5J5FApuUuZ7oiFieL3k15yjrnzhvZFG2R2m5l/AzPnm0vlBMz1JVVYg0m+ytpPvpkKeOl5ZdzhR/e9JSxS4pkM9xfKERlH7boSnS40JBqg2i0g9ehth3hq7R4jy8/9wAfALsIOyqeQyI8dggQXrT5wY8K3wnlYOTM8lf/cAcrK70luXIMsCMGsgd0Y0wl2J9G2TU6KeQOWOJaBKZH1Yn52O2ykeyY3IYVEdJNtvegNmZLkgE4EUVRoktBblYTg3eBOsxy1G9rlktwp/5O2kOD9EkAPCPdyx/jVyxmzD9skgRkiXzyR48ilVGx99wDvr1cBw887qzj0k8MaItPYKM8qPRnkX7cagPYbyEQZ9b8ZBcnak3D8ORhvwcsth7GixPovAqRIqMBpM5/nCWsnJq47D5U+N4bCtm0sBJRDaKIqH5jtdv7yfYzplOdASaFff53NBvKQaY5ajYd3JK1Cnf3yXSdHRg7ZhdhIFs14CdMSpTVBlgv+1V+VDVCkquhWs4/ItQkCojTgnDdRdaMeokszp7htRzJxEu01ldoDuDn4gMyZfOEUzEu58M0mKMbOTbm9qnFF9foiBZanw1LXhYduXILF1xmFec1wmHeYW9iMVIjLX6N4BK8bTgHPQkwHYFIghyE7TZ4NLRJoNNDgti5Hq7cawiTezNYTs6DLiPxqEHcJ08C/qtAHAsd2G3skRYUZUV1XH7qOj7DKLaaGl/VCxvrMYzbUKimTl39DleYvQo8tkwf2hBhOyV5rG9QVeur+kp0k97r8CCjkKDTYEcBD8jyaBy4pppj4p+Ew0tgVLyTj6frMLoO5FTp31rD4mmADaT62aBtIhFwNgSrdbR9VnjdzEu/drpaEcaoqp2cs7HmvaJxRGZsZcl9oCUgkgOXaJMi1Q5OB0yi5QpieXWmET0dLyuhk2wxnH2mwjEUrzt1LDc73m9JZyaLtGUViqgsxPLj7Hb2JcoGKjUUDxjcd0EkeqlTXAAiFT/es351XfOzufKJo+Zfkxn1jbyBRUjJHkcqNSlXXf29MnKoEO06TjzXQ7Rmc93fLERlH0f8FlEa+nNFxydUPg0FlgeYihJ44yck5EuqzICDH2S+lxEFZKefX2P/9aFm2O9zI4RgSCi1kOH3iyXi8WGV3tBdu1SpaoAGC3Pw2jLGpHD1uHJjTN5ARtPW2bDtF8vS/0WGaJDEUFVQ7qMwLN0MHgYLfvwJDoQVUOSaEVEBYVeREoHobkgC8vnPDuZdhoGPcbkDoRGmo8WBZtj2yQQ4Oami1RapapRNmmFbGlQUtgZ8ZyIDNgmIsgOqpxHhixvvkAdfHMvT7Epb/fPnAOyfX+bewGqS6weoo27RrVO9n/aRaoxxlSjoaVUxARsCeBYtUSroCDql/MqxqSdc9BiTmRlFfdKoiIuo4FarqFAC7PiByaVBqnOvzFnNTu+RlQsAlbZraw4u6iaUXYJBnDR2yeH8nuVCeeh4ti19WLozRS7RlTls8qJXx4t0KAk+lYaFOB6D9l6eKArzdEmQ5t6pXWyxTyAIfQYKRZWQ4XTEmtiq/LqwZ+CeL07SWJ5oGG6gmnoFaNBKpiOsSsvVC3bR1S6MUiyWa2TPX6AuCeL9xQ+Zr5z6eRosOHmdnAR+hhCpz+et6p0AtnV6OBb9iqI3lXSG8+kgQImQlf3toa9VR/ke8cQWYsUi55RDjQ6yvG2/abcOcnqaQsCpUu+WTujsibSsZGoxxjD5FI47bykbY+xhQWXZAo6gFDAUZoNNDUd9jk5JUDLZqOxZhJFAxgY8mHjWqtAJ6Le+Tu23wCKZJ8vq9Ytxzk1sEb5dASMkRorgvAu52KMk2JocQEjsDhJVY1J6PowGPJC19OOVdPKbWuTz3F8oREUeZggfSK07qgyTyyUm7brDgHLjhFee7+xIpDZbYe3kGuOqLlHaZ8+C7q2aoS0+0Tw/LWVjsqR5VPrrY368b0TTuvCqHgfi2cR9Ck22oRnMUGOAtywlbavCr0PGfhITdh1RuNBImxOcaCTwm46fDI2+gKq+7GneNA6kTQlgN4u8OPugvW+fCDTrLroAnT0wjnQqxV2JtFUjwp7E/8PohkWqQZyOIITPSPMg6HvLZyNyJ93kuq26ILtDPIwExHwWDTNMP/WhGVu8Ct+ztMhWCOXPZOovPtEWbGSzpF7SS37LJD7aTxXl+FIBbLSr8PpuO5YDwCMAlEdqO6dHFwQvr6fatPwCAQ8BOV851iv1jJ6nGhy4bB4pE/YggD18+WWxsyfphEpeVSapbJuIjeO4j55NgrcGcyB9vFUKIxddUaSmdZ5asBVco06ljspGLl9aOgJG2fvljXKVV1g+w5xrgc7OBxewm5Qx7q2euQyPVedPIQkxwLoayPjf3KsS2MVDxBIDFOTPc5Lkqxibh2zGObWyUGpBirj6KBDc2gLpk3X4qkZbuYzPrQ9FlN0CJZ+Gb2ltkoiKdPUqwuymWK3X7GuTLO6CUnvV+TeaOs4Pc/lCLdHhXVWcrQHQuYOlDDY9EGxvgkH5qxsixFzK/ulpKJyO0aVmbDMV5/pgKx7coLON35RTpwbtnhEsA+KfhPzfQoeERR6ApYv+djoooJlvbVKWZNcDmQTzuUufp+b98riAbvGCApzWLeK1xblqZOPIOepVZDnGlyOrNbJOT5FW5LmOL/ddNBuDn3kHLIr479DwmC5JUE5CbLJzcOhQz+egceARgJN8J2RILqLJojqw07FWK7vVkzfDTuePK6OIunKIlg/ChTEuYG3h0j7XTFFKmc2iMUpmoAuClg4WybllK/P04UT5ikMmjZ9NvjSkBWg3gX9OI25k6TTzpSS7437i4D7ys7Q37C9RbY9wUnLNvZrI0L43BjMpu1yMPLbUZ163fF90ebZaMnRHHiaKk1Xe8E+aBQTWy/IEiliv0RFv9/xhUZQLqL19G7DK06IqiLJjHg3+fkiLmbuLrkQSUi1aBrVQbREfKuLcyFeUzC+eHWAFB9s8WyfDYDG4bzNJdO7TK9WHJU3BXDZmC1/rKiouDa8JB6mweoSyoIY95kTcBsdeCAkmbpIrz2/p5HC2SAZJKiimv4lgRcRrZcGi4xrFPlMUFUIyUko9CAW5qWYXdxjkUQFuiXuZcS7yXlWFFJISkQbeT953ckK1cjosvK++Wrzstv0TfIpYkLIrl+iJ1nxE45FPU/9Ps6T0UqW/oXewgXSV0gMqnFdznGJiFC3CNgWHfPxWUgQNHdeaMAF18jHH/HxXionX3NJalyqZDHHJedPOtu5LnK9tdB8iM9mbn77b4D/dqd6LFGQTxu1dDDcBXN8DqDT0tSw0xUqA4Hp2/GP46X+iRaSgktOS9iDfEaAjpybjJRhrjujzRBsxspG9J7rrOaQSTRckxIf20qxUyeF5MQsFS/Scq7RvHbb3HPyfmxsvNUcNF5aKgSLvRgbCSclSe7poMTvqhHiy/UZ80ViPW65ErQVMuYXEPo+g0PHe+Q5qjQ47Jt01Jpm88p4/1OkLVKrKO5R4v6qIenGnlUwkKhq2tIcvymad25tArC5cQyUIdaGrsOmD4VyH/M65/jWHgMlTVHn277Djc2rd2pC1NvH2GP8ut4tMBALmY26RNj8vhD8CKATXU7bkjyZLSLTNk1NEylJZDX3sI1XkVWBvrOLwOzzHl9sByWD3Icoz12k6r5tbwPaV+cmBJTx1qMSgVnZGrrKSGNR9y8vVc3RToLTlzip7cpgbxee41kpYCOMoHzRSn1kNGK3YalOLPGyGwor2RwtxZ+mUYLsYP38DfN2OIVI0LHBnyb47Qr70hKVOKAU8mOUIt6sXKB3C/BuYaO4VdDvZy6+5I6cFXq3kAQ8E8GBMHWQrO5++v+T9+88s2XblhDa+hhzRsT3Wisz995Vp4oLSBioEBIOBpQEDkIqYeBQwihhYiIMEA4WeGViFVgILITAREI4GEhIlMMPQICQCnTq7DpnZ67H94iIOcfo12it9zHiyzxn56lb50opQlqZa32PiDnHHI/eW2+9tZqLtz9Ryhydm1/5siA8euq5SH/GgbXj+Fua3uFCRKeewbpoZAZV8vxrx+F3GqcgkQLAVthqeaCFOTr4eRK4CndWGIWn+rtyCUybSTOiTHdtvH/h2Lo6uWxj1wi6sYXy2Ch6FRtqkEl31p/9ga2IYdrGVr7CxbqQ7JqHfdSQHcl+DzKli8OUQUsEKAqULZCUtbPc1UYrOk6NiF4gGHqm5a1gvxfMu3aSoSMLagb/dkPwS/CyZGt4eak0GTOfSnW8t/ZAy/gg+fW7Lk0IJCmZpFYeDt6p0dL2mmtp6IQo0AnCNIB2XtBflrQvyI22UQfFquP717sbOfv5VcyFnlAg7liHHgrAbpxTnawVvODtut78PkDibIi1uRsKnIhN7anq6ddKnpEyW1dnXJamGrA/cW5YN+yPDfs9s/PSmFm3O3GYNMb9OGTfl89VgmYUdot9ra/I4CQOt37XkqxdNkviZpQY/UyTv/pcMguPUsP2Ld94fWag4Ede4/pF0gN3PQ+eflTb8mNDuUpETdyY5QsFGe1CIbjyVmTiRyS1PQqR+lJRPy0U7JoOUS9sAli+VpRPC/CyMCA5SHLemcDEIeqHPjgfUganzMLoDtq/EYcr1vduwNcV9Yosg/viWF4Ly+DHTgQpymISlINKm+XzkuaFy5sC00dJxztoWXGusLeC9YcwR0QiZHDAv9myPGvncpvgdUOTCWh5VYDSLa0f7Ni4l3ejUKDKsLY4xdueaxLZKQrJNdmfNOc/TM0GhUF1+7rydy7lpgxvW4G/LhR47BTLBDA0YC4VRUTvTLwAmtlqLvji5MsFOgPtsSEKGftAA+UefubrFx2gMAthZG0NJOdgykyAkfUBA77S92ZoNFnVkX3rdyNj6Yep22YmC80RdXxdUNz82fy6/2jEWYsuyQG4yWQiyo2PMGVImTVNWW3UVHUwRLCVEzFvVG/dWTqKAK6HaE9kBBGwxX3NWfa760u0pEwZn033KpIqgEHYFafD39VNb37OYhxdUPY0NnM5Jdrx5uuKjD/upU+/r/fN8tH75zNn1TrkB6o0sok0M5zHJufAuL4bR9l3Y5fXH2iP695dcHvHlI1yfqbtu9CWzEwmxCzFsebsB0ieAUxZaFznPN5x/Rk42kCCDIMT9X4uxB993o0MfszR/IKClvfXWMb3ey/pxfP7Xu/VYAFgKezged/dE69qgwvznoybnzl/9vRMszMpDt4yHaqGIcSlVxcPBe8vJdZtrosJETV/h8ooG343b5NrF2sontvN/oCB+M6PIW47vh5Bdhufl0m0QzwzjOw67iE+N35YP5/7zzycZfxaiqPFNWD6e8xLfd2ji2aeM1orUe74qfejoamuPx5nifearqVrPBTgxDimyaIQyIEk4uaVMvHvwT6bxiF+J/fYMbZZ3u3sEot5m/MKGIil+Ep5/9MZMe+lqSeTHUnjc7BbvncmNOKKzAlDfrYh7z+UxX+EiMxn2DxO89f+HK9fdIBi3VjnahQPWr4oQDnEw5s2yCuz8OUTxdj86Nk73u47li+VmcBbweGHgvqDbLvvG66/otBPOfMgWf+YmVhoQlhnJ099ZgdPOzpZ2tUFxYE97pJzZ62T7PhyMayfCtavI8LODNnAiD3KUGHi9rgxqPmyiEcD9ts70igQbxWurLe8lZGtrx39ZYV9WYko7KxFlt+t/LynfYydG+yNmbapLTlEqOLQdPE67K3g8pum1l8Aq7OzoOgeVrV5i8dx/bXG41zSTCqIcuWsjGLt8G82lId9WA8ArN++1RHMnMtop1bAVb9S1Mw38ntMjHM7dhJHP1xRvi7Z7x/6JH5qoy6utrnyVoe4WSzYpefGZ8EncMj2XshNIb+kvpbhgwSkLkM5sMUW15Iy1n5iZoaNqE19LTR/i+dvzhr3qdG8EoA/7SgXowChg618Ud9fHfi6UM5eWjK4VJRjY7u6DDeLRAXLac9rj+s//XbB4VPhPAtY143CccCN5HtsQGVVRhtljQhYt4KyUMq+Pm7ZCWaFPJT6sGU5Z60NxRy7OnvmAKS7YZNSVzHHnZi/qQQLYLWOrVUca0MHFWWr9RvSbFFZZ37vvRe0vaAUcdqEGEFcsLJKKyXKVbIsKK8ltTpcYoN9YVeEnzr3qiAPq3RghXL1thMx2T4Q1YhyZRGBv7wWtWqy9dY6EnVt3+5oH/ehMdLBLphzGa3KOqisSW1Vwe/6tdAUrxuq0Nj1c8XhMxGRcilpZGo7+Qol/MDEF2mP1CVp3+xEVoR49qMzaZbWkCtI8lXt0VFaiT16K4PADn6vXEqOZ5Osf4gx2kY5dWtcU7aRO7W8lqEeW6Xv8dBQLuqgFKHTZY4Jac949VTGLRMAsX+3M8DYSpb3ylvRe3Rybdxw/Y5os21yq5cpoJ8aym5Eu7VmbwMvJOncJV9Qf7eyi1CdcNH5GLYa/TdXtvleKvytJjIS0vl4WYBTR/nNmfvhZ3bdlQeZjRZH/bJkIlleC/C8sDNyZQBiDu79jWPSHyhh0ReQj3PHLlc/6px5jT1Ye8d9Az5sSNl76MwMm5mf8fpFByghWNZFROtzf3VEbhkJQi1/EVHeRnkpftYweHhzlgAMlndkO1PHTUbpOiDzILvJhix/nzVWEQXDuMpxs0Azm45MunEC90sdCIUW4k2dc65hTmhOuv86+NlBBA2DP8fgAkDXHOaFDcMBV4hIMruDqDrVL0OGPr+GaShnVCifFa8/zfl0iHtnax1crY56nlGjnjMta2ydDPG2lLqOayzIUkw/LyMLmTggIyvUuAS8vqu0Es8zaquRNeVmo+tuJfUP0rwv73fcG8fDheYoKLzeong3ZayZxFZ4jVY7yYMSW0s35pg/piAikKoYe5Xqci6b2oxDI0cZVXARzMEyBTC6pCIgcCjr09+zfs338Rij4olOWLxPlFZdy+ddZvandeF00OW4SUH2pxAUw5+OoPxpL9O1uk9jFuPx7r2CE1Q2JOrEtcSfjYMv96H4t03ohX4uuXBFU6GE8BWGaFaMY3xEdNrNnClX95A+N5CCQET6xGFJLx3935fx/UxAokPDkcTa6DYKFITk/MJxCB6GSLPJbYtL7Eg11hyLiUPV0w8Gg/+iPTDb/KVVBOiA17zvqxPx0Pzpq/SQog16t0HI1XMKnZ84B1wleHPLvdU6UOTLY9pfZmQo+XdA6oTEfOc1jjlt11jruAlWZ82Zfow6H/KMSURKc877uO4sY1fnvjXtu1TUnufrmE/Jq5KoWtx7nmeaR2xTr0xK4jOjcyk6B1fP5xiIaSQuqZcTz+9nvn7ZAcp9Y6R+z0iufbvnQcUfsHyg5cqWKv+G/JHlzUZAYI7+zcYNeDe0k6dSYQprxUHTp4kV3T8S10lBpUpZ6xuOgYn3oqyoH50dAQVoT53MdbUV5mSM8kcBJ8HODqL6A3kgfqes+IEiQaE7Uk87opXMQ1OkONvRxNEpTxtOH2lDb28lzfpwLbLe1kZ5asDjpgzCaMQnTkuX0m1ZB2EulGGzc0ZZM4DBg1l7GhoGQc0UAOTGdWCWhGtB/USko/1qE7xtg5OhzSq6hnBittEfODfsygzXT7RBL6rdrn+yDJRh6cNMMjYKY1bh2ijsQr2FFJ2T2ZbLrj7usT1QNt7eKsqhUaL7sY/MycGM5VyIepkP35vOcUvRqX1InIe2TcwBKLO1i8TZHsRP2grsXMkr0GbsK9Uno1YMBRPZxWWgfUPxtD+IDb++FXZyfCAytnzl/I9n7pEJKvuzCL72kW16Y2stuqVlAlxBS5ZYiEY6yB+x4iilY7WGpXaUH+HmWuJesPWSSrOBoFRzHMuOw9JSSbapZBSveM9iVKoN7ZWl0g5g38mpCqfwbPnHCGLCIqK+8XD0o1rnXYfwwVPTwoLHsvoUtPB6250Ps7oIEA6OeuHz7w+NSIzNQQe7ecr7On8H94cIWHXB5Wypkh0H4P6ooOrYyK+7I4dkf2AHkR86yqllcnb4oVAKXYdXojtnw/KpUpROBoX1wuCKjQamMivncD8RdXGNRblYahaVpy2DEr9v6X1mF2qzYJOpaiAhQrDq2YbBIPj77aFj/WpYPxdprBQcfqip+2NX2gVASWJXd197EgJ4v3ON7YbTb/nZ5SxO2hRcBD/LXHtmzBMhb/00EPvluYxn34n+l7cinSW9z7fSAgjF8lMfrelNXX6h8SKLEbvbUe5kZrtQh6RfK+rdPtRv3xYmWurCCT5TfyT/pN+pO0fq4rHH49Bx90eFnMDCgMYu5CbVZyJm/riPfS7I2bJI6E+Nrc4TT/PnvH7RbcYRnXukFFF6SG2UCFQIn9o+RHwATHW3fAdK4oceQEyyQABCAO5OC3SC9iEiaGTxrg4XPzlgIjopeOnL7ebkxYEDEgnIiLjpgPUh5gbHMB8LSDBqzfrdJsG6vOaZQ2LI0tT1smQQA2BwRzACGm8MJMIy27VJu1yMfTeKBh3GYUdpaoPvQHqQLNpQJDiXMv9OCBaGqQ0N+T2iJfFvG6aMAEnEgJANjnOiJxJsyjKQsrxAVpIPYA6TuzDRC7V4RuDRhglYQOFRs/XXOrIlc3FpMMTstooqJCPuoXxVWU5t6IhxsPE+7V5oYMGA14VG1NeCduow4/j64vDzomfsCYG3AzIATBQjiLvBP5p4C1GKATCsCbolshaqxfuD5pBj1KN1mFgV/6l6dj4lURacC+nhE7X2MDWL0hHIJwGAk0z+QsukomN/J/TUnOJqa2mpAhuvkMnvTqRl/3N4gJiBRNkjy0wOJPpjCJ4XTyRfO9odSy+9jjKFq8XW9joQsAiEiwKYKKVuhroXimR1oGxArywDwzDEzSySGD7fdi/NpW0ceq5yhzkSqenm8Dp1Iq19JBNBgu9jXVgbn9HfFnZDFe19eu4w51xsBjtL0K1CnMAh8hdlKkr4W3KtwhDQzmpBB0uNPlkwEAF1rnUlM+WNoaVdZfshxDr1ejrAp6Q5cmLAFxzCHmjVpmd24Jin70wE0NW5JIrDQEuCHKMJ4aQabRlrDDxrYJAsgBLhxeGLUWhz7Sw7n9qQ9tfzQocsSqbruYa3kifKFtwwh+Ue79WBOybF3rmGm/ZJLA6EnH8kkAZydnL+xDww3YfBhWM0GVVGkGwKwvtRfJ6JI+VnlZTOhrZq7RTOxfbnUJL9RSMoM4kMwJBdP6oWGJNIdeJytkEMAmA7O3TKRfC9Y5gdGZCtvNF2JZXR9sRsfPlKc7f6UkbEfDVGzZXtxrFRr6oBYu0KdOyGUBmdLnnNIeLzpvc/9IQbU9QpNqYUPlJW8Lzk9Ze7PVuWPciYR/bp95eFYzaJICU5stDkLcz6IouB9DcCnaDeRiGyEmZ02jCCSxIeF3YUJ0XcBrYLGsrjlovFl5718Wy9zS4G8NqFzNSXIoXNQWijR0SHSSocWT9nfTq4AQELmzErjMS6XnRflc/JNmYvWJzW5M3UecJnaodO3sYsRnXQfV7Z5ZPwb3EcfuDz8hPnaJV3UsL7BrSPO9Gd6uyyqp6Ox8vzyEbLhfOivFRlM4XcmFVZkAKwhGPjGoXUJMLlgNWeugyQMB1LDyTTcuwc/ZsdpYrcLNJgKRSNqgfW9MuiDp+wXNBztEMbXCEw2M2NEUCZWuvNgPuVpKM58JgRkPDXie6bKPN0Z8nnWHb9m90+133JrqD3pNhoL55fh2VHvd/pL2QYQo8mUbo4KMSPKFfqxfAGuJnXi2H9qn3JNWevJU0YY/8qG3D4VLKEUK6ch1GSXl7K6FCLji8H/HFPxdLUU1kodlYuloE5gOGNImS3XNX2G19TUhVmqZGYleeqpKJjf+L6TH+aByIcZRdPQehFEbLNEgsDXDr/aniacW4XSPCNv7d8NRz+pCYyUV/0vN4Gr2R5ZUdcfZUxa51sGIRKmIQ1YeLIfNzT/K4fuEbtwgBlv/Oxd4ZoWpTNAuUFsH3XsjQUnDwYbuw5Mgm4qPyy2Ujcjh12v6N+d0FZxdtYO/zDlvef9ADx3SysAN4KdbZCi0rWAogGi4ssTC6FHEVxA9GRprUmAVHapJTk0YXQpHUlQlHODoTuwjNovxcKFGeFc7/up56KsTDumeW1cn8L9WIFuNbBve1nvn7RCIopqg4Z4/DW8bMixiCwpRjSiDLbgZtLC4nu6mjLyHZDpCxVAYERAGmTbafI+njQ+dLRj0pE43C9cKL1SPwuiqgVgGRApI0FBZxYMlfKbEUHUPhYoNVRUwXfz09N5mwKFM41M1YAhOAluoOuA2vu2HFN+GODGWj53Q22dL6PJi2+rglXoul9w9V4432UV0isjhsVKlGXPBRDFKw4/HkdfIiJAzIUKHUD3fjMNcn7USZpDrQHoJ+GtUBmI9po3EFht9XRW4etPKB9K8z0Yg48dNXW9Xsr0vnXNWZuhnKtXLDXApwXCvJ9mMhfClh3td7ZW0V5rrh+MwWXha69LrLpyK753O1VgnXdYK8ktF2/6+m43WtPA6+BkFiSsMPnZNTNY1xHBpNWAF1lmLnTrHDsM6DTGgijOROHx9Vy264Vy5Eia4mmaFwBDCKtHo23EN8DanXAaToYwcPW6o94Je/bjpv+vVr7kaZJlG2yU+cdwjJrq8wBSi0sqbkb+l4YuAmlCzSzo6jVGSzz7JYdILxZPkdKtDOYJDkUGZyW8IXSzzVd/uCysSyzH3tmr4EC5ucICUvunIJRX5BICMBEJ7VTFrazs2VXPISuQCG8f1SBNSmmdiEnoRa9fK7YP8be62mW55Uu8dHCWy4F7cSgwDaJgsV1XCsF18IgtIDrbR/v5ZX3FyUpFzG37BjGnhcRyY1Ik8vtlwg21Npa1ZHZ8/6XF8tSVTqMd8kBKNjxc2VjwWHoNnUplddrQVsM9nIYZfQ3qvNkmSl4WNV5FlTHfqUvGiqGeWcJo9RxTWgGPK/AIvqAkgqrTvTWkfw/GNiWrIQxxD39rWYpzt+I+ObZdigsVb1W2hOcxIvU+q7PJMzG+Vdey0C5iw9unYHPdGnoF9kESDS13WlPdpaku1nujT/n9YtGUBghY9TmBDsFGkIJZ8mGFx/tU8XTRdPu2dtuxw67a0MwqEDIig7y2Oh98FJcmXJm7yKbARgtgfsgaMFBTYGYhIHKAHkwu6L4gEI95q+sw8m3IGoAACGDjeq8B0nth1JnkhUBLtq5HS8g/thYhVLEwRMZWRHkH6I/A9FRgBNjvws1iTJKkPTC3yYOwPnQMYya5NwuF+OpMeFfuGHX6F45dCxv0kepQqE6shSW9xB8muByqOYe2UoSp5dOjkABEQs9z5hnEaxFJhi17/Vrwfq53BJZowvmrtEkrpP31J/4/sn92MsYv6jVG6+9nC1RtvLGrKd/3Ki+K8g45dCD7ItpPSjLZdCiMY0OHYy1EGRBj9+J5yMy9CyKhejYUVBiQAYoqTAb8PT8GTFXo6QkmLhobKNjxruJJDu6dwCgvuOgFHPMvjzvhdyKOdbSElVpKDdKs/lzNxNu/G4pRF68WZoeRgdeEGjnVn6LVmwASQwF0A+dRqWRZC9cp3xOGtdC3ZEMlIMoboBtGITwyEAFs7vpeVhIIGhsFax6GfsQhSEVsBTOpyR5C60ou2VHTLSpB6JyQygHZDJn2c3S7sbYpqK3rqsfw09KfLBAynZDfbVh3AoMAq/GMR2wI3MvPhIRoQlFSAjnE/KAT2E3aI/Rvo9DR3mzwUOMfVvrIK1DHLmfpVNv8WGWp7FZvxjvqUqmv2tfjzVjro7AwmD2XLF81fUEElM8TQhzDXYME9Ew89QeVuZkRsnY8X6Tb5sNjk3Yf3SMUvgqG4JmWO72NJv14Nep27Ps/DwcyW/xZZwBQaoOgUEUR40zASDSbciSZaK7c3D9M16/aATFVxcx1TPizAE0ZQI7ozdcSxJfHRhchtfKzfzjlqTF8Jfwwg20/G4lfHnH0o7f82C265ClboeS7XV4ruKieEK7rknu1lG/LOScLEIfzlUQGSHNZgtKI8GoK0sI1AZNEtEKGhxcRD4FXnapaG+VFvcATEgQC8kau4Afp8kSgm7RsmznApw6BYW68fA2GouxPkoSG5rRqPHQaYxlnpwVC+O4ONAj4qqO8nlJMaiE0INQeJGhlgHL9wvbAws3wlkX4PJdY/QeqrR69YB+D7sMtJzj0Mg6d5Plwd0k2/11gd8JcXMhR2/LyGY8Aj6krDzMcP1Wp38ERlGyOQsarw3+YcdW64CIxVUKIrdDG3sEfUUGggqwrBt8dnoO5CPm8RKfr3JcyI7rVa6GdhRJdaN8Ng/BgrK2W3TDAG8YvKWCIeV9cJSnBu9IlcjeDP5KFKy1MrqYoPJVBP2xTsG/29rRHuikHUaBVoR4uKXEfd7DT3TjdFiSX9P0DwNVWSVd39z+zG6eQFuW0m9dj3dRae8EYQe/yEFROrWUGozcoUXrIg7KBlj43Ti4HzVjVrxqMKLFVCWhvmrv2YF2zwM4D2rnYUtdJgAhO34YY+vmA+V9asP/RyUPu07CkJXXFGXDvmIqPfP6+0GESOeh30+Oy3c9NVGS09dBwr3QTdtKir/FfmjXgvpWWPpRcF1kF1HeeJ/7BxoN7oeGejE0QaghlBdt1BEw+kqydoooOn+2LSU5YyGKB4D740PH+ehyQObv2KXwfVb9/chyVkj0+6prFM+m3TMh2oVyYjO0h55tvuH11k+e+0YERPtHBalvNeUnMtkI9GdlCzoAShFsBi9C3h9VbgrLiw6cvz8hS6prl+mrgt1we98K/NiwPzW2jev3273OmNMGfF1JZF598KneFpgPp2mEeaDGDlthDrQ6fPchIqczph86gzMfRPOf8/pFIygeB4FqcjctlBHtB+QdDz8iPmXVtpVhDDVtyPy/NoQzJ1q+Vs9DI0TiIjgqVyOvZUL73TCy3FWtefFZzRKGhSuLyWxAmYvInonUFLCkAty2FMe/OyHd4HHYxLth9gtlCHG/432z/KDOpyRUAYlEJUo012ylallUHgoknmODm6wkDvGyqT0zkJLkYXi2KMK4UedhW31kYID0JdqPBaEW8iNqaH9EVtvGRpFzQplD3m8sunivmFd9zBFThgADeS53bcwf4yE/3D+peZLcI+AdamVpY15WzmMzZWF9PJ/kucSzikOrIFuao1z3I5nxIGMGMc6QPAoLxAhx3/qHNtVoeU1NjtJvsyBHdgPk841gLr4fP28TgVZZYylTOWh638O8iOK23yEl7M4xVNCdOIKLUIeN933vZgxgePHo/z8ZwMQaOvQfoX+e48177AtG9quAzLp4HjEOMT6G3J+SuCqExDqybNdXH9L3ep4leCIdqQ2UbawxjPEcQ69H+w4wvX/I3M+3tfx4DFKcTcZ+Xnygopj2slhTHtePm4w5zDbLhnw/B7JMHWveFxrYRddP2cb+kWMllNYkE59OxYv25aVLu4bXNdtUoIEH+D21gJL02XgeIAKvQKSmeyo7r78koX8i9jtSbj84PIGs3Qi1KWAIW5RY/8nV28YZkKhKRwaR3o18rsUTtaOLdMn9nuXtMs6d2CNiX119SiRw0zYd51gP+CKqBsA4K2JcY4wm1CYRYkzztozfed+q/2e9ftEBiqleaM8U4qrPlehHLP6YJNeSbsRkUg+IMaSn7YcV9WvN8oFdDe2pYf9ux+U3jd09YbCklltfHNu3Df04+Cp9UT355KivnCh+x3ZTOzOD3r/bsn5X3mjGF0+iHYagWTDky5dltDlrgvilYvmTlRvjfWMkLklkf2jYHxszsq+V0TbAhfPDyqDoThBkt5R8DxJsbBjtsQ9oNQ7HSx0HV1ddM0iVzdICPNp8/ejwuz4EzZS5m1Euev/QR4fC3U4eRkG2xcGB62/UzSERqJlPZFuBXSrquaRRVggR+WvFHqZaphrvNpCZftdHSauSTGenNjKzQK0iKwmuzrWwNh2B8bWgfF55H5Gx7KNtEteC/pUIwyjpgQt2V9eXMVPznUJmsKlk0pmZRXtuCKlZ7Swfye69vpQMFLF21B9WdpoJqcjNrhnqHx2pLwMQIdtUtrnwGoKcZ2q796edfJpVrbwR0xrJ1C4zwuXQYGElH7VxgErF0VYp3le/VCGcNrRRhKCUMvgjbSr1zByUc1/ZoRMIyruNr04qtM3LDQn2vbZK8lREtvX42qGjnhrq0hmUSlRvWSXGp9JFvQ4pgzTm3AqWL0RY9/up7KkSWAgV+l2Txgw7RNpdz7ZUlkgc61fD8pX1fTegvlmWo2mmB0rli7ifh0JTSbQhlUW9Ivcbtvuze7FLIC65YAFIqB24PUiUrLLzJq6NApZC6WTlEYFDJDyBnvZDx/XbltopFJwjf659x3LD+rslJfXJB2SQYuJKpOidkju76L20j7g598JLuU1OCksmvuoZXISsal35QUFcI2+uvFQKl5168n/aQ0/0ycQpsS0SYO2V1/E7+zcUMvNHlUhiDorLAyCJ7S6+Vz0bifKRZCiB6487x/XzOvaQsF9YeqK/rsR6BDoKHiIhi881H18/sLztLwt5Pg89KQzLn6y8B5nARru3r87Pz+QDyYGkwCj3nX7q5K9EoBddRT/j9YsOUJIz0TGIgIEoxKTMqE2/EtkNMPgmplJOu816o+smTajia31kPZndRpRuQMjjp0FYcAOUNdsyrhGY/83oM9/rnXTyzWd2oTQRWMxRuvgJ0HmaNWUga/43RKX57/O+HagUlO3O0Hdce5BQlYV4s4T+M8KO+4rxjlf1oSQ5PaOBLigoOAhVEBqTYwX9e06qyxhbike9e56OATHO9xR14hktibGI94p/Bq9HcymQtMyQgKmsAQTEDWBYo8+vqJnv5IHcyKwbry03K/E08hlEVu9xXXqvSh+YqA97BD2R2ewYiE+bgq+493hvleNM5aSbTDQHxHOupMlezMP5ucZ1BhckrtemVuT5Pd8P07uvsX34xyySll09Y2I0lD+zxPP+fQHINgI/ie7kZQZKG/eLmOe81yKeSXRDDW6OITgaCD4JcGOoFi2/URK0iPv0XkS2MA6cbgMNsfE+KTipr+UyjnmpPSIyZsv1O62BMv0/PqMjeQjvfy4Jwz4eJa/Nxt40lb8D0QvO0814aTjLfjstApm+sSzRZwQ/5AbRm+fjtCZv1m1cb5kCiOl1Iy4X9xX3enOujE4nGNKMb7zR9PfpuXi8jxK5LI3qXtEm80NgWHBE8hrPOXiG8YqgE0B2e8WzjPmanBWMJN6R8w7v7jsSTY/9P14RqMU8KkSefmQN8jNev+wARRMjjAE9iEaxsAOGOjjaY2N0D4yOkc5J2w8+WlsBbraVGS0uNVGFFO2KCdIM6/cLlmdLkhilkpkR9BUU2KmUgYaDJCYhKXZq8G831oclnhMZFCoIA1ZH/7DDi2P9ocDO6pjpwPaN0IepJ9/OlYZz1YFjY+YMEDHRqzxuRD60EEr1bEUmxKrJthc5bTqW487D556mhPXUBr8AyAzF3ij0FYZQ5kZ0JwTj4sDdyuiwuZsQoGPnPewGeytjrJXh1HNJUnPAnhnxi7QaJGkY0qwvTMRQMLq8RJL1bqnp0c/LbUAiJGF5LrmoIwg2AzOGpaM9SvL5Wa3b0+Y315Y9shnTPIwOsUMnhP51oYGkG59zHWW0DDw+rfzcaNltHJMYg3JoKIeG/V5ZTxExsxvHfe1smXSMMkUHO7zu23TYcLf24uTi6BoAsPXWgdbK6BRzw/Z8QH9ZATespz3Hsx4aypFlsD4hIihIY75SO7tmQJJqMcdqDYfaMtiI/0cQsfeCbRuS9/NrtZb8k80ramHQ0tzS2ThItNVIuV1Kw97YoXNYyNdxZ63e3yrsjkJz22Uh0iTSdLsTAhd8r5hrRXwJZxBbQ3ukc63AQa5ScZFJyTmpz1x35cpn08Xp6qujPTXK1a9EBddnU1s9ZfJTFEzzLko0XslfMceQCXC21vuqufN6K1NPBJoHy/oDEYz6leu5XC11QWwztKc+la34ueWF3Ybr9wtl6L8SdWj3FFDzwrmPa6Hdxuq4/qU9Uejlhc+pVySfw94K6udKccIHNjb0UyeSvBcSynXdgdRE4NfFkSsX3mcVydeaYXkusChHO59be2wp1Ba6LSjkn3RJFsAx1Lzz3DEKSQYa29RWDXA8r2WU3bTXoRCp3P7yNQ/3GqXk6sBZSr0ONS6Ae/ex59oqL9rXN0tZBaIpMnzsGJIEj/soCblRF+Yq/RdZdIR4Zv1SeUY8UPQtuEX+WgfNYibgd6B+L1RZ82Hs5fjZr192gPLu5RVIYZ+5XQvIaDSjOGUH87+D0Z4ZJDA6doKXEJ4t7+rRNxm2Mn8PHZH5wMofguTB9bOKfuMtsy4akyeypQIeTIpymbmb7j8iV2Skmi2o+/Q5EY0DPOg6stQVkfQY1Pi/5ZhF267vCqdnLst0mynP7co8TJtmoBnAlN15Iixp5x0vkXbn7AXgs8uM05GbY2wQ1myI7SlwyVppn+5n/qyI07b558bYZwZmeq7z+AA5J26kr5VlzDXofMXXI2HRZ7gjkR4+b/29GXxetdPnpzZFZ9CVJcH4vPl651qyjffOZxJBW2ZkI+P0zs4W1/i5G1vMp7FBx0CCjFyQIAp2uQEnytYHgTXKOr3bTWnnp16BoLCleLQTz3yT4Vp8W+IBgPfqtK73NKNRYZSy+j46l25+Xuv31p7Chhw5xEspUAI1gtt8TbLsgZL4/G8lYT6j4m4DXdHcjO8Hkpflxc7vJfcFU0asJZD7IaYtzfVzWQIZvwODSkaY0F3tWTFHhPrkXjPvobmWMfSI5rJDctKmB1Pi1sd6TgLs6hkUZkcToADRb/abNNks+vxYB7GNzeMRCOntVq9rG+vKxUlM0mq8+giQIhHy2C+112a5Lf4f674ZUv9oFuPU2HZ9TrqFA4NfJx7IjTWC+ZhrgcjEujfk3hCt5zH+c2UAF3mSCS294aXM/D7DQGQBSSIgW9R/Cpn6016/7AAlJrfaePsdZcYzW11ZV8vDxiGxtpFR29XSfGt/aoTFLyVb+5ZnBQOKKJcfJIKmRdGOjn4Ajt9zNZHxTtSgPYgw9bLg+NtlSOUvPbVOyhepgJ4acC4ij1new/K1oHzlTNk/MsMtnxfY3Q479iTMASDxS5LuaMYaq/6+/G5FeS3JKC+K5tfv6a9QQwlWIlAZqGiGbGeqrfrbAqvO3/m0pFqmF2lHxOcXhz3uEhpDwoPlRR1CgjDLm6L0uyHQFhCmHzjG6/esBQeXIpVsr+osirbsWDiN7c7lYhRZq8z2jn9caaseokYdWa/PEoMOlhCDsjPbxPdv9sE/ipLVy5LlnpDu98cmmelBrLzxPXJLwb8IAkK+3ivgj/s4sKIs93XhezmYbX/ceM9FSFQH+VYntjT764IeHJnYmLvEk6IkEIH5tSTPyCTcF6UmAKMsqXu0K00CfZ88exxcd3vBcrezXX8vaNfKlvnKA9/fiAz5y8JAQCqZ+2VJDx+rbA9ue8WlLahCPGqekOO1eUV3Q60dR7FF27SlrdZwXHa4EJTrXpPDUjNwsURjrtcFu1estaO9VVy2Meej08WboVSK0aFbdnnZjuQkLF8LkYhm2D80dfB1tMeeiCZcrcDHRjn1nRYH61fqePSDo76RcO8L9VOinF2/Vp4xauvf753zBsAq2fHysMnETRwX8TX6gUJnQ1Jf7cgi50cQZZtheSnkmFw4Pu3ELsF+cnYS3XVUySGQ78D7jm7C+hpcDBrM9ROF26Jd9vJdx/6hobxyXbY71a2yqYEoikUQUjkPfXHUK1CeaWLq3125fyq4KRvnbH9oQxLgNEomy1caqfrDPpR4jZy7Hk0MlzL2rWlf4HljI4gyoH27ww409lw/h36VeDoXSUJshYJpEwpjR2kaHRr8fmcr9ltll91WUE8N/VyFXBXg1KjceuqwT+vgyTn9ymwL9IPS9+1Rrc0u9P9xS10vIivcy3ztNFd1dek4139/2hlLVaA9Npz+/kI+pKoU6+eSDSPlrXB/6SLi79SF8kNH/VqI+j01LC9DJuLnvH7RAcroX/es0yYnJDLkPjZjc0lHT1kCirIcA+uw+v68QGLic5Ex68sIN505PUlfvuq6zAnXGwMZFKi0ETi5J/kqMo8e/h2KNvtBvfuRrQga9MaMNep/0dY7G0RlV442PABZvulhmhd8q4i8McYieQgFN3wBi8w3WN5qN/NWRjlMrHDvRp6Ing2dpscYJxrQBq+nHab2WSA5PYlcRGIQsKpk7QGka7BXkv4gf4t26thPwaPQWwfKEKWsjP7njDTIrhh8H2AEKvEzBSPVmrO4SBbiWUBZd4zh1KqXxmTNSLS7asEn7yaeh4LCcx3BRny+a57EHLuW1FpxSXrP2WHOGZuyy8hGJ5VXoo1Iu4e4Hg90T8KDTX48WcNWh04L9EoKmP1aMZNof/Sa4pFAQd5roQBERnq39OIBhnhbvLZW0GA/ksKf358dP/x369zUa+njeZv2Gzd0IVTJY5jmiydSovGcENwkoGJ8DQBcoox9wTCpK1xf7Y6/4ysToZuOmelzsUnu4MRn1/cyDvqdiEtfkZ8TyHFm8DauKSXho+FAwXQKvSl5s25cq0XrU10uIWiZQpJCkG6yZ5VmLZyRYzxu+GS8n64Aukf3YDe0I7/v5pKT55qxvaAdMfaDiWeV5Z4s8dt4ZpVz1ldPwCHQlSAXx7j7MkjCiQJK2r5rXMKmJO8r14wLLdE+FnskkKT0MClt8nPj89IzkEN5qHUjUGl9zw8+JAPC5DHGNNabgsC5Cy2tAHSPiYYEsu4kywNQclgk/OhDVDTm+cwxaTb28jYC4J/7+kUHKDiwxdRXZw3/asNRMRan0BHTQekPQ0si6ooe8uyLY39kTTMFer67Sk+DHIP+ceOhcTWYmM391NGObO213WhwpSz58MdUDNy/E4v7rWRdDovDTz1rkoHU+F1jFNzI5sbjnmzx5XNltnRhoJOOwuFrcVWveUgkrw3rwzU7hezUCKe/kQfTnnj6ebPRYVNV06xERULcDWDUX7Rw+31D8jzUrUKEwoBjz2AsEYvV4fc7M/+uzCIEf2Q8BTdea8jig/Vev2uDaBaH4qmnWFRYeJcDxz6eVXnV5vVhx/6rHf1OYkLBXxHCRj6AsR7uxoDSwOAgRN12jatTGjq8fiy6N3RtZkBpGlNtCFY756sCqixHicMCgPewm6zLK/C8DKGsbtmWCwDlrdJqPjbnCH5C1VQoVHmtROauBXjcUkci20mPbbjhKli2E00o7bWOFlko8XvY8h/BQbLiFDxspoAcqI9kNJYIdN/YsVPvxH15rUmmttpVAuIDL3CquIrs+r7jpk1RzaUv2PeKqi6e27IPg5bzdcXWFxzX/SZ4id/Jv4dmig7vw9JIYA+jRnEKuhzFqTpKRVgG3pyf/UjEJNFIHUTZ3TLz3bqhfKUWRpj0ofH5tIeO7Ru20Pd7aVc0ZPBfdu4X5uA8N8f2sUm7Y6ENx8VQxQPxE/fKdvLhqJsoimeQUq7qUJQGhwcqsXgGs+2edhJd3YL9jpm47doHN/JFwgbE1WXE8i33V1+Jssw2D9l1owChf7sR7TAiB9Gau39s7MqrzrW7FSxfK3WkPu7cf4WQhkGhXbnn9BN1Yuw6XHixUqgT0WU3l72rzo04R44dh0+TqupuwKWgL9Kd2YkSLK8KgCYfoAzmFWDQjZrnQTm07Da1U4N9Jboe7xkmifV+l95VkWQ+g9HysJEjeGXyWu80F5SsB+JpV8rXB1oKA/k0CqiyfXsv2exhu2H7ls/aXhYszyV9merXmnxJVJ4DQXOob0WVBM5RVxD+c1+/aKE2AImc+MwdiBC42U2CFgZ1tvFAcSeqkofeVpL05Xdd/AxlA11eOpc6anxbSSQl66B6n9iA+orBidE1lFddry4uXJBz09oMKJYlIQ81QCj6jBa+jYTc+DvACVXOhRmUOfrGFMsiOzhX4AQedHuQfz15DvTeKTSaagY3S8QkpJn3fRl6KQa19rJk5QfPDColwOfsIV57eIs4cODmyfKcj7GIzpc9OA/63cgc9Py9gGNyBbrVPGzZ3qhxc0zcGn3doQ1Db76obNJLKg13YKBHcaivHX21vNY0PgSyLLOHqVpk2AokgnDX7xuzkFjUcX3VhwcQMDpnmjEJu1JoyQ8dvgqJUfkosrgwS0zCc8D4kaoGGlWJGqQk/qXy780AY8DaUPJZpGcJtF6AMWf095GJO6wC3kFC7epAczTJbePAwNdRYAXkntSOtlPefhZzmoXT5jbjLqPAP+0VZoGlODavfyanJdCXpXQslcGFBSJWweTmLFKrMVD1YvC1JGrlqw/382uBoyfCgmJpuKgpmGiYyxIikavi6WNlF5agm1COLrdvFM4HlmUcVSJjUJkGnQd6DUNNB/dKScIDULADBjvnkr+X3LECeHfKzdvYW03lndnwE7vBeskALRsU4sDa+fkOTBn9CLaS+xAk8hjDKKsGGuUYKJ7WV/ABvfoQcNMc9eLwO+3BK+83vIu6fLpg4GHcdJCHeWraSMScHtcb5a5EIqtTRG3imrUD0hQ0hTsnTmFee+N86lvlXqgymCngBSBxTiZWTQ0ILmdwj1Jy8FRW7u0t+EBrl3lqz7nYQ3IAUImuJHoWXJFYz2GmmGerKg2upDQ5KLHfOYPR9sByIFTy6acOey3/L0JQgBuIC8Cw9o7sd5pcsZGXqzLlu5ZtsMFsT7Livdjb8tIxISrlrQwCUhhqLYLWTsz0y7kkmtKPY2HBmYWVmKRB1JUmSUCgpsAoOSvbuD9fkFlYUUdLsNIjWCpXBUkFLBWcF2pVLJ0bUWSyyv6tTAsnoMMIvgLOBpEV7IXcizIWpt3v5LAAPDiD8NuEksywbRwoO7Mp61ycJVRSTZ8zEeeyrS4ChTkb0SZfLgXLc8XyWTotcaif2u3vLH1I2us9cGwUDFvIl7BulMI/qDNIGYhJv8OWPswT154qjbxYEYgf9hEkd+P47uwUqLIpKG8MtEyBrVUnh0TdXAB4DQVJYitnlQgPrCmjOJVYM3D1YcpWFDSrThwkVlMgFgFbOTV2C3QiZDfaCMcuGXTdU6BXjkRRLNZhHcESgETKYI5yoq6DvVXg0LHeX4epoBElKYWqtMV4fd2NWiYxtO+QlM0Ltilged/hU0GEZCkdm9ff62ZsBhzKjrU2lLVloBTidmH0h2YoEtXLzjTxt4q6dKoMSOsrhSDLWaaBU8kn53AI8tWBvBTpqiwvhuWVHRno4KGq8pEX7WWVaEq9UDo+FEwTDYgEKUoIGaBoXXd+RojEJbFX1xl8FRMavT6bAoXBpyn7CHL81G4Cj3IuKOKpdQmsxfzm4ReEbs2pjWumBl9Q6HIEA+mb47EXQnsyE8uZpIyKYV+hTiXKzk9BTxEaIS5Mlx5K0R4eOikwCGEFO+ZC/wkYEvFKNqxb6rsEpyftUkK8bSrvmny1emiIxHOKMvdJekeNXVQAUB52eCsodzv3De2P5Uikz95U/1O3USDQXqXHFMGZ6AkMljASjQigD+L1XRTAVQUeRc/cMOaVAtPgLYXVR7kUnrcVo2P0Z7x+2QhKxxCGUa3LgbGoBNeXF0P9WrBVT/GYPLTEQYg2YW7IJbt14EhpaVxLmlZl9g0fkWNs6oZRagIFh/YPDEL8WrhINxO0b6Pl16EIvg9dl0MHDk5DrAjOg4Nw4OHme2G5ReOwP7UsBdhOtKa98lH3e7ajuYNIwL0hVAgdHX5d+PcTS0y408RfeNjYlQeO72x39tcFfq5okTlMi96Xjn5XgJ0BH9TeGx4aQZzDtRChum+D+Bm17GgBB0bwNCuqRiZrgC8ls8+eaBbhTFc5J2rVkG2BvdUsD3krA5lxQ/lEq4Ewm/SLROmCgKqfI/LB5+eyUE/uk1ACdF73fk97BDRjy6PrWYQb6GapNuxCLvIadhuZ1FvNElLWnOvQKzHH4AOFfLmXsXG/LONAbOKERODhyIwoDouY/x5Ikzbi/ryiH9Vyfi2jbVqvsjCAseroyqTCfdsA8i+qU7ukMEis6viJcOR9iQcI9KTg2heWC9Hz6wCydbi74bpXXPqCWn78PvzZzjZjBTMRG5r+U4qjXSZ5+NXRnhd6mojY7gbOsYWk0nbfGZhcAF/II9jvte7LNId1CFk3uBSTgycRBo9NCG0IH1ocFJFTnA37vatdWPNQaK+bggAH9wyhI+nl0kFByD4M8qIEVYQgWDMa5BXyujbj9zo6vcWio6eIL7KVRKZ9cRx/V7E9KTlUUtfCkLA4O5dWlhTTmFWI1BwIlbc6gLtN6LQI8r4g24BTkl58NJwL1i9VQoOdYoSLoz5XIt/yQPICiqRVznsGIZ5S9PMrOGQRLLSnhvIsLtFdJ1DxxmTQmsinS4ddlkTas9Szq2RoDvNCxFxBIZrBHneu9a/rGLtDpxv96gBY0ikLURgPr7JF8+pa0O8kMqiGEn+rKduPxmBqDprRIbPSnkFHtMtjpSyAqUWbFgbDFJbvp7W2GxyW1QdffJytP+P1y0ZQAg4UAWtmpqM6kQltSvVtImgFgzlq97EYgCQgzT3bRfVa223A47HXZTaCqc7IA8uadAbCgr0gyWb5swA3C72fRVQb0HBlL3yKsOkzQ/8jScGnRpl0gH3xq7IncXFMkyIjZ8ew5IbuUdybqug3ZJHNkEJtGfU3YydDZDGT/XigGiQRExEop5013wkm9KjvN35uGmwFkjSjX7oOAEOcSO8DMdd97cCppxFWiNfZroheAWC2hBdt9hFzOm4IXsurvhfPW5lZeSuDPBnXJ7SrBEM92u7i+roxmDz26fCZ0IbQcNnLKKnF/D6KC6HgzIrzYAgdlDzJfSBQjkEEzHR13Fs522ihD5TOkD8braU2Ex4DVQMSQaPFu8oIIl6nrL2CDisdpfYxZspILYhzDm54huE47ERCQiH2vRkgwO/vageuNrgqDeUGbWmtYPP6Z8reA2A5aGLnJoKizCD9perQH0rOQOd4ewH5R5F1bpx/5ix9WIjnTfPH4kCIOXudCKkGlmEqiEJUWQ7Me8GmbB2q7wePI55pdKNoj8zgWsiKr67PieQCSFPUPrU6K+CgmzYmhNTG9w89506QT+sbhmx6R3bZBKE8xCxrrNG4NJWfsgPwQqSmnjnuRWWjMMfM8lnxGyS9XAuW56H3Ed0u9WyJkJiSqxCPy2aHtQ/LiSl5ib27vgnp6TY6VNZOPadAXlyBVHCPYn2v05oIWXqA61olPetG1eJKvk65KoFZeuo9BdnVdJaFom5+TrNbZLSQq1jTI8oSZc0yuIOJlGsu+AgAU5spguRlKgmFancE8xMRN0qctv38sOMXjaDYtQAr8tDxk+fkA0BhJXVxXH4TZEBlWOeC/rRnxpLQIUC0wMDI/tDR1EkRg17OhG3bSfLCG50xrxJlCwOuCJi2pz6y/1igQMq6B0HXLoWtcXFwqHzT3irM2M6GS1Hky8ngz0sulv62DLJklGVcKEUzikwpiu7XSvKrFmZ7ZKTcwzxvYU3VfjjwOrSx9Y877IVllH6t6TnhksBGx+C3vJWsF/fzQoTkrEPs0GiGF+z3h0AQ1D58YHZvl5Lt2v5K5CI0XWCAfa18FsrI0GRmaJ4HeD/5uIcG/tyFYnAuZCDVLcNxsziuvyaK5BHYuKH+bsXyYjjfi5tx6oP0+6r7FdLkp05be2Onlek55+JdFCnqeZUXZhi+Gw5fCi6/2Uc7cdOmtRX4pQzH2BIHkgJt2cO3x07X45WbiUfUUHgv2e468ars2Di2i8Pd1W4PlRyUhYncaxqrJsK2Xyo35WMjt0uTsu0FdenosVE511JqkhxZR19rw9YqBdo0JvcrF8p7nkm0El/6gtf9MIIaAB2W3JSCTpG34nhra34/XvUmGOloreDagwMzSkpmLL3V3x6ITrYC3LfsnPGjJ2K6vBm2DywhtDsiE/t9x/JckhiKzvmX69gwoHcdqv2uwwsPkX5wySGMxCQ1myJ439gSHKWV6FJrQlzCqA8msuwSLcQMtGgWZ0mYTSlzaN9bO3AuRAwKCbzoIrBrf4nhjJJGkVng+TedxocPHV6LEBw+pzzcLhXlAtRS0O+ckvrQ/arM2h5YPi7XgsMPJFxacBuUwNnLku3Ukdl7dWyPngFHL47yXIXAsC286RnuH8JJXp9djAiognFvUQKmKN/2UQnH1bA/KjB6rfATOyfJd1SytpFvxY6+Plr8g8+nPb88V3ghGuko2F5X2Nqx/+Y6NKGuJcUlAYjDooTl2GmhIukGa5brGrvzHPy4YbdlJIkFOncs99/ePBYV5R3Eo7HXhSXw00iC25PKSheeRylq+ioxlcKkqEcg/DNfv2wERdBT/t9icUb2V4a41IFs96gP/li6HFkPvInso44fLx+12lkSOmzM4/dS/rjghkyWUTUw6puGgYSE+V60jgLZMlqOrKXO721ze+wMQ86bemR+cZipdHD7MyM4s2NjFr502bTb4PgchveCdxtjNxMbo64a34M+L9re4noXz8zEwtm3Tc8mssFwFw4UKTZDJ2Sc2ZLG+Kb8Am6YWHsu6GgJD5KaxeGZiI2ClfTNGeOURmdt+sw4yCJDjXs3DKfYuDbDdCj5QC2E9sTnpVnilNEAGD+nrHM6b/V9y9KSRaaTZTcMXogge5ueh03Gikl8Kz5UlrOLanxcObRk7KOoa2deLt3otRNfCDQi/llHEMD/I7kka2mo8D+VCNvdsHUGNTdtxrAbbx0zx95/v/9HdA7FdVqQNkHUpEQDYAdM8DmAPNTD8iDN4wrQxU/LrDzevlmurTTSjGcBZELgmq8x39FvpuN4P6E3yWsxjGzXx89kR0dkywpkopyQ86ljtNnGcwfRodl3xldPXYy5NmaBvIAJQrSYh6K0ae/IudOA0oaxYnJ7MMYlEB6frnHs29qfNiFNIpfH2usHR9qcrDwLQvjRImE0tRrPnxH7jeFGdC3WR0hKWLeUUCgTSpwovWmcRegd3Yg+/gADxYmuveIpgbCIF3dzTXq/3NsNg2sUY4f5s/je5dCGwNw87zD2oRsRzEk2ACEOGuiwG3kuca7GXhHczkBjY738KaXWn3r9ogMUXxz1pVJ4JxjwytjL2xCu6Xc9hblwYB2yPTWUr0syzP0kiP15gan/HNVR1OoZUXoYRm0SYDIhGdsjN/FkUjsSEg0kAAYcfiho3+xoHxvKZmrDw8jG1I7LLhgDtiKDK0XIhz6MpGKhVB9lgWvhZnogLyBsAOx+R//CSNyf9oTW7dDJgVHpJgiBpg6P9tRI/H3cZL4F4MOWG6Yb0J9aZvbYC8XnKiX6YxLnRjhLrp/VEr3rd80TdeIDBvkhbiifJIh1FiqmhdjuKQLl9y0PPwTReO0stQlFS6XT40BJcODfyyvJv/i6SnAILD1UZZ7azK6/anj7/1BUKWve5wpcC9q3WyIxYXYY/BbbJFQm2N0ljGdvlajYl4Vj/cCy5Pkf28Z1hzS/UCA/TSaBEdNoU7FTS4KdiyTn0sSAOW3gX+qt/1O8lwLN7M76sPGzInO6DNStvVW0M0X70m9KBOG+VfQoBVUfwYcC7CiZOpQJFk/DQHciF0WBS7FO0urEtA6eybkteN1WHA77je/OJnGQapS2364Lvu5HAKD78TudlGpUol2WhvtlY7vyVvL/rZG0vn0jsp+IvxCIRQLt0DKpz0ooXsuETDALRXXKEKyysbjvk2YKYfz6RlK+xyYvOYTtQ090eHlWYDN1BdU3S/O/fqKoYxAaU4UZQPlMU9Hl88IgQgE7ib02nHi7JdkX4qPsjzzA6+clD2F38Pc0XykhP+w/bCcXpzwTTbQrkZ3+wHGIUk07iUR7tZRViI4Wcn2IUi5vhsuv2GzuEw8oeBLtKN6IzgPbjZL4IT9hkPUJS8Lbx0F6t73QGPPbfWiNZBLGeyFZHGkNsH5PJMLXjv2R5rHZvi3pgLQjEWkUALB2Bh0FpCM49/y+OvCkqCmChW7Yn0O0Stf0sNNCQslXkZ2EyawQ0d1z15hsPi+J2nUh1wDIb3xekFpNJluDKGspGGHDgfZw8ffsVZ1/IoL3h5ZnKXYJ9akM12S9MQdDv+/1iw5QMAWgs613sok7EjpFt4Q943C7eQWCoSxlNrZzwyjFTBmOFx9ExRA8UiZuPn2Gou1krwuaz30y6s/AWAwe/8eUPRvr37EpzRDvnMFA8PSUoZuNbCKQjjRCm1Ky2ewtTf8KqH2ir8XhkZ8njsXNNQPZjXOTHUb0vFsiXTT8s3EdZfq5IOzFAdxwc5+RxQEYqFB8vyC7tNDspgabqML8XvksMDamKbP5UadKvG9k2ZGFxrOP5xbPfJ5yU1ZsMTfjM4B0ZM5xifcw/pzP43Vz7z64Jt1kpTB9bnCl5udnfK59qzc7gtVp7AIVi2sIfkzcS8y16cW59O5r08/lt2z+HYquheQ9gB917wAs1exesbWaAcb8c8WIqiyFhL5rW34kdf9Tr2I910QxH/yeG9iC4zXzdCI+yjKNkNYYT5/XwHzfgVABufZDlOtm3KoPVCGexXw9sRfGs56eo9tALBLdjd+L/ZGDyvfQGnFdbw7rJJVu8zyakdt5L4uPyX1Itx3rKkuUyA6f4N7E9SVaEO8dqEmNDN/fvS9G0Bbvof3e3o1p7jF1usZ8f/775nfm9SwycRHHLRGpeM7x9/nMwLQeIjBUoMv3H/ufzXMvkM4ZsY25k2/87p4DMY+SktuNxUF2Sap0zUDbx3vf3O+79RfPMs4pobb+/t5jjG+QuB+v5T/r9QsPUBgtt4MIsUtkez1h1egRBwB0Q3mu+aD7NxthxwqRlBjVD1jLKfd710hUfNiF2owMvn6/js3kQCb68rVmhG2XIrEnx/Kl4PqXdqIybxX94479447la6GJFiATL/1dwU97oIFeEKFM92l7SfVPtpdyplNl1mgR34wiQuHf81bVrQK2SQbcH7DgpcKK+CySeY8MF6vD3xZmxwZm04HkTO1pXYZzfqnJcsc6lQ8ASrsfW9a7ZzsCV5mJJZIy7lMQsN9PXTIO4FcX2FvF8Y8XCcJJ2O2O4nR+ZF23fFmwfk/xI5PIX3TX9IcGf9iT5Fefa1oF+Inme6zPMpuMgMdelhw/b4blE0WjgkRWXisD2fuWpbaEfg2pTdA+6FreiMbgXOCPO5nyHSQ9B7msAPX7hZ04zo2IZmCUn6+vmj/diGbtY5kngVHQszfeS/myYPkHK+8znikAXEuSvH3t8FbGc+9A3wrF+w5j3QTK4ntB31k28R5dUDJgUwllud9Rl4Yq9KXJqK9UBhfvA4/gkHQ3vO0rXs4HtSlz7jc3bH1Q6w6lYVkb3vb1ZusYZoEsDRXr2CWFP5eH4CQp+rVg/V6Zaec6KWeWdI7fl9yw2wMz93pWJty5MffVJeom1KxZ8nuyNPBWBj8p9gKhV5BUOzuqOs0CxbkKl9/spoGew8sQ+qvPBcsLeVEhVNYe+5Rp6/EVdbI89Jt2YQBcB2dLZDjM5OxSExWqL1WGqRJhWzv8sWH7Rnuy1mwJccR8UORNZTdJEFwvg5NWzkPoa/la2BkpxNWn5MAPPfdQCrOJY9FBwc1Y37vWxxSwWTMsf7IykVG7bqgfF/FJbFJwLlegH8DuNZfAZwNlF6JsHSTUTi6IbwX2Vtl10wvq5wX+QmG9SHz725JSEab9xzbLLr/gbrWvKzvwAPRrRX9bbrRbLMi515C9YOneOztbi5C6HlYAO5H87TtFM82SVxfdN7YJUTuxGlE0D/pDS7sHO7bR/XgQ2hzlqj9H1PHLDlDcxqYf/1b2Qf+KWOnjV1IZ86cyI2AgL3O2Y4x80+xswW2EHPC5j98j8dYHaTUzEhs/p1qdL7qMxZmlKLrmBXuWcaIdtIdQG8B714QbGTEja49as4ElmLnuHLcfUF/8LMAAJA5QZdFpSpX36aOmGhl2ROWK0OefuxnbuC/9Xp82rrj+fEaRYeo5xab/U6+++i13I+bDdOk9gtF49jMiEJyVyOSAsekFGz/q2oYx7+ZMaeZolAGr38yzuL8Y4zgEZlSnKNtSB0ZIykcG65WZcaIk8aziFe2EsQbEI0qvlTKVBYHBN5hr3z/KODGQxpiTGsOQVu97gV/Lzf3m3/oYb9c4BFrBgAW3MtkYAcT8CiXZrVV1/3j+bPdyQ4QFAHfgZTtMv//T2569zxQBooDgffcVN1k1LRg0J/WWqXHxE3M0wMohoY6b7DRLwpIQT85VwY3RowVnBFD3ChTYI+eQTXtSNgHEnHb8eA3tloiJT/tpX5ACbrOhHIW69PNxY5ofXaUuuI3rtvHZYRQ4eBiQmirG/FfAlWMTJSpdXw+kJdZPvL/aZiPYCO4IVGL3a01OR5ogJpIdJGG9R5h0dsNsUugT6uELRhv39H4hEZDjE3u6j7UaJc1AHoacwjReGrM+JxmxdmOtxPqL17SW4/9pOVCRZ1DOh/hcUQY8kkncPrdEcfv4urk6zmIvCKQ67kPzKMYXwOiQ/RmvX3SAQln5PTsfQgSnvhRGmJLfHvC4o1z1y8qCUhDHgch4w3I6OCBx0Nrrwozmw5bEsPYQoj8YmixFLapRb9ZB1B4YbWY73iu1J/ZfbcxY7inRHPLLXkVAkxx/OReUzwvK53UcamvHcr/TLErwsqn01De17h5oQmV3O8rDnhPFO5GMqH0GK9vDBr44uSeG4Rmzet6PixNjV7Har8zUssUWULbGjSrkk4NHUV4ro+xvr0jIUAefN9WzJVxUdj6D/mEnRwjIDbirv377to0WYwB+pWAepgOlfdiZNegao1xW3opasqmJ05+IvpS3yqxC/hM4drYsF5cRohAtBYLtrnPR6tn4vUikUWoJ2L94WgTYXePYLHrPQ+f87Zzf5V46CGGGWBz9ceje4EK+jd2zK62vjuWTnvd3FwDgmtD89FNHPbRhYbCwG62fqI+QHT3iYSXsXhzLKtGP4qgS1/NOJMnOBThX1B9WzZcIhHqaIuZm5YYiZK7tQk1KZ0ePtVvCKvCjNuPuhteNqEgtPumgWJoIskW5o7eCT693dCmedv4IaAB29CwKRqK0U0tHDdL6oWP/9cbxFym7PVB+/vpdRxPn6PCpZCssSy5TG6vrMI1sNYKMOBiOfDZ7oDAX9kJ5dZQXGmZ6DRM+HhTLm2F/ZNvv/sjOkX7oRDoUnFZpuOxPPTkiRGrVSrxTlp1t0Ib2xHlW3kraRpRrSUM5P9JoLw/m1ZnZV3b39Efy1syB8lKF/iLLP37q6PctBde8AOunKhHMIK6yfTf9jKrQbQfl+p/ItbDqiQAB4D75ymDELkSxymvB8Y+pt7P8bkF9pv5HuSpgj5JtY7bf7yloWb9Qwt1kTeEG1FcbAaBrzB+oMVLeitqTO/pZ6yECt60IRVbQe9fgEuQMFCsNDdeeViUoDr/W0a0ZyZDpDFtoXOmvC8v/h5bmn7hon7sWKrsefZxrAPlPxYGV92tXaluVJ1mEaNzDHyi7fbS3oXNf9yedW9FpdqGZaAT30T5fLuQRLa8/P+z4Rx6g/Mf/8X8MM7v589f+2l/L75/PZ/w7/86/g1/96ld4fHzE3/ybfxO//e1v/6E+y1WbuxHyKhHxW2qAAAAi6pek8tyFkXLx0WIaEwEYyq5T77bFgR2M5YjiO+GvdidPjSnCzQ6WglS4nTuJKChE0lFG2zEZzFXq4Gf1kJbvADaapWGnIA95MVKiDWKo3s8z2/bMylNqXaRYXoxlRNxVWvIrYc3s1JmCkGhR89V5QLehB+JrT0Vc+n+ADsHq4YfM5YKLkUhGbOgh2mZ8hnxT/T88bfLZ+xAIUlDQxVTvi8bBx8adWWSQ8UTSzXHXppQvoUkhp+2t3M49Q+qcZAmqW6JQN103ERQ3PRPNk1BevUE3IsA513HAT3X+1CDoCqgr0O6cJZZrHdl/Gc/aPcTZPD87Yd7IlqKMGGuijKzPzLlMKoOzbBfV/Ay1WpvmVZqGxUcaYGoRDiO/sriCFU8eSQ5/lnE4ty7bgu260Dtnem1Tx066FneScNs7efzyU1AHmKWy3bhrDVmWGwEMraVMcLifhNkoDwOMuTpl9IkqdAyrAT1HO5f8+XZ0CQ4iM2xTkOLmaHeOdkAmV1F2CIE3lhAd/d26SYQwpt2k+RScr+SOxdcVSOT3DZJBwOCTJYLgiaT4wmslidSHxLqN64EJETHArtL6KEA7Io33Yu0mUuhQO7yuNdCWa0lkYO6+bAeQa7J6miCGYmzu0xMPxfq09wc6ENeNcQ1Btg/j0y7Zi3zeAEtE0f0zv2akJyTjMV1PdE8qUZifRQQHMAxk/1pvr9MUDMXzWvs4h66FyE6FDFX1jBv3jJy7zYaG1HXai+MVnZjXWBf6+kVn5oQsU29n4l7+jNdfCILyz/6z/yz+/t//+/nnf/6f/+f83r/37/17+O/+u/8O/+1/+9/if/qf/if84R/+If6Nf+Pf+If7oPLu/woU0svgWvJQ9EXGfoJjTYx1AMxoFhrk0QBuet+dzHG71IT53KEadKHaYnHWCWWWhw8bs635ENHC7AcJiammyS8asHQsnysO39OgzQ59tNcW12dJ6OZhR72jRXt9KbLaLtzcKrOZQAjijy/ODFoIRraNHRslx08StYtg4STTq88LPDbOJpKuYQR4btlNhVMDPuwoZ8Phs+qVwd+RVow1w/qFnUnWgfpM0zjTYhgt0Bq3c5HKLaaDn9+rryUVcyHZ6f4wzL5MJm52ZBYYm05kbmHCV94qGeqLD2PARq2WWbwoxJZo8FiYNUYWXIik1AdqlyQhN5CPRWiYxtjkqxGqxTG3sqV8apV2PcP18+BPzWJM1ozdWd2Spe8fNr6vvG/8vmVt2BZ2hAWCZwqci6Tz436oayBNmiJpdx1Epo+vSyfX6W5PSN6fdtS1oy4Ny9JyzQTidNO2rc+rxuBnPeyo1rEsDQf19XZYBiVt+t3zZcX+tqDLY6cKIdl8BCjZeiy13Z9qWS7mGagkJ2VxHMqe1+cbM+Ry1tw8cr6EpHcYqrU7Hnr7gw7jgLW7pUCZXUq2ZFqVzYOQjfVzySC9P+3pnh7dbcuL5QHrTzv5PJoTbLdHCrdB6EJ0lOUhFHYKCpjrS8l76NJzSelzH2TgdAKPxEoy7iV4Uuq0iRKFH304sa897UWiJT2RzspOS6/k99U3BvVN5ohlR0pGeGT18qR6n4jSxLNnshBSEO2J79/u1d1U1N3SpwBNARdJzxzL8lbSAwdAlrWyvbYyCC8X7gUeAm1A7u/lRBNARFI2EUtJXlWXUiQC2pfsOow/TeaziMSzW6oBh9yDvUpd2sH9JBIEBU84yAR26fnMfSGSnXH6ZuQHBtqzFdkn0CA1PKLi5UJSlmfxYKR/snytRLrDJ2xRF1AlZ/Tnvv5ChNqWZcEf/MEf/Ojrnz9/xn/+n//n+K/+q/8K/8q/8q8AAP6L/+K/wD/zz/wz+Lt/9+/iX/wX/8U/1+fYZinGlhLdDglwgYFIHHzKHvuJWUgc9uVSmCyIzJeLrwPWONnbQZO2KBsO5cyO7PEP06bSb9EWljYqXXzBa2onTp72oINMRnvW+b12TydgEro0IVbH/sFTKrhdC0zW4KHVUt5keHXoWgyW5KzMVkS09Snz628LD/Er3XH90MkjOHSqbpbR+utNLcETLwYgXIgWKA6wfWBw5c9L9siHMmQ7AO2hJVTqYTVguO1+EYpUzpN0soIiQH4QymzZ34obx9VAyvyqtmEJ6OHkRJxCSnvRoTl3HSmbKJvBTy5yF1EJPnyfkCN9hjl66I7o2eeBvEss6dAHH+jgI2sLAtluQC/osYEvniqTu6SkfSvAqTEoeVu42UYWFehabJ5XHdHTuGYH0NRebLHxNoNXIWXHDoj0h4os+aA6a+zFsL8uvI5W8vDIFuJe0HYGHVYcXXYLRA4cvbPME8FOlHkKHPtesUs07f0rlGCPxw29FZTSb0myU4ASr3VtaJ1Oxw3lxnQQQPr2rBbOyuN7pUhPxmoa4QWKSv6YA4XlGDiwffAUfQx0pGxEBEKDJ8UIJa5oF7bKthMD2LJZmr3ZNtpozUEp/TuXqahQPgUbXuJANxlL9pG9CsGKg295Me43d3Qr7loXN3ot4XoMZJdM2YyAxWUKBM9lct1V4LHQNuTG4BQMiNrjhAgAA5lYWJ6OskA/+lCfdiRSaB3co4QUuMoXvVi2PgeS0Q+e5nVZzi78fhrI6tCHiLA99gCtvwh0+oo0lLWLwY1/+undPC0DTe5vCxDCiJF4yFDWHRnU+PkW0cx2XW0R2bKcBHtPvliaKsZzc4MXJiL1qv2zq1PPZbOhueUFo+OsaI5Gq/Lq2B/fBfUGnWuWRpfh/o4CONi8gp2l3yjZeZwls3fZ73n9hSAo//v//r/jr/7Vv4p/6p/6p/Bv/Vv/Fv7e3/t7AID/9X/9X7FtG/7Vf/VfzZ/9a3/tr+Gf+Cf+Cfwv/8v/8qe+3+VywZcvX27+AFwo9ZXma3ZVdDchE9EWnBGy6rxh+x0GSHZl5pmIC4QQXHjAl8dtHPJlyl5dizCyZWlqkLeizxTKMUOm0Uce3jAlsukGBid3VJMtoU3R2ZmEp00ICVngKXqkOqJJRMl0MAU0fCPa04FoHQ2n5mDThxS9yQ3TpBljcYCqBJGW8Wsfoj53VIKtcqtkVwojaexcjF0BQT912MOO8riNRXciyjDrOgScS+v2PgLQyGaUQWUH0BRcZO1XG2YQC1NmOwK5mXAYX4d+P8pwBdkVgCA/C+42PWuTBoy3kiqrADIwsEuBncncT2Tr0BMpK0fyUOJPuB8n+c6cGinx/O+kfxAZa1y3ZLCjThzPJ8mecW/NWG+O65yJu43lkKpOqhQ7DDSgqlzYwQ3oWlM5OdtGteFHh0HRwYjITlU6CcfgYo5Fqq/VOloz7OGrk6cYX0GSvT9suLu/oEz7Z/eSomyzUuxh2bPN+H1wEi8zx7Hu4qCMN61VzsvaXLNU1QaxPATRrIP8pSh/qGRYrkI1dDCWzeQLQwQt5NK7XLAt5ogxuCnb2NdK7FFR4ixTJ0sgYLsMAPVcPNBBoT71Yjh8YVeRHztVaI/tVorBBirDgePUyTkVnkoO1DMm/y+VwhbP0kvyXi7MyG/WGZBoTZBnqZ2iZClyAs11oreg3UOUFoTQpPhYzGsnYpRj5lP3o48AMvaWcin0EDt0ojqnnsRnNwwHZAD1Onh1fuwDBdV8oIcPiALfsdXKgke2qSwGJIeG5oRjbtb7fZT6AdS7PS014uyBUTPIgocT5WEAwX0p4aLtkPEshj7TVUFuwVi/RfvkkZyW/jixlU0BeZsEBhVkJddT68QasuM1nn+cGz/39Y88QPkX/oV/Af/lf/lf4n/4H/4H/Gf/2X+G/+v/+r/wL//L/zK+fv2KP/qjP8LhcMA333xz8zt/+S//ZfzRH/3Rn/qef/tv/218/Pgx//zj//g/DoCExPbQeahLOMsPIqx1S8nvcuXCKF8XbSrK8JVx+MGTJd7v+kBhtOD765KwIcBJXb/WVNrrdxNhMWqpQSIqvM5yaHLQVQa1qF0NQN8ou759UNQMvW8EAqYDUpk4VQs5OeFgFlYc/W50bXgc+OZZKy4nkij9Ir2LOMgrMznalevzizNDCQJydpH48FMIJKkZ22Cr/DR0eCda5EDZjeQ5Qb7+stAgSy7R0SVQf1hInjXwIN4M+8emYIABab/TvVenoNVpLPpELboWRyEUG5tpPzkZ/avfmFaVl5oonJ1LEsMCsgyDwwiEvDosoNHOORE+R34pwJd1LNhAQhax7aPUE8GOE0Xy4vDHnZ8lo7+bjXzyO8IXEkSDJG4XtTer1dgCudE9ufySfCt8Vp3v2a8VeF6H4aCCU2+GFlmUgaXLIFQrALGCIZAnp1iTaF0pjipPoOvrga3GD+PgbsrkTKhJLR3FgOuVKIsZ8Hw9oqLfEFu7hNa6Gw6VG+fz2xHnzi6d3QsuU5txMcfhuOPj3RnXneTZ9u79SKj19OIJD55FvJjWSpowwkChv1ZSFC0O1Gwnfqmon9QCrgPn+lGHpPHg2kXyjAPVqw8j0qKsX+Joke2iG7ZHyrFHabl8XUgEj4NeAX2QpVPX49gyAPcC9MWxPQD7Bx1yV833KAkB8k4Bu5WOrhIpKPdfPBVh+8HRTpoXpyZiKUsOqJo7VYFNdbR7x/qp5vpMc78DybPtxH3IV5KDI+jtx556Je1D47/jsAs+YAQmWVpD7kO2jW6cwe/T8hKK6gogEcFeEylY3kqmcYc59vuuwBJZTiOi5RT8DOn5e3rpmFqRs8Tj4B5kSN+idLZ2JgAZgIobAlkTpICb9uBE7bsxmDYJqW0jQMh9BONzo+QdCWD5uiQZemgwca/qR85RU6WhL0huzI80cYyJaFd7eA8rkv6uvfz3vP6RByj/2r/2r+Hf/Df/Tfxz/9w/h7/xN/4G/vv//r/Hp0+f8N/8N//NP/R7/of/4X+Iz58/55//+//+v/mNlXC2i1cSNdUgrKKSGxKmXVE/9gJFvPqAEm1vPga8YwQb0XkyTe56QU5urJ4HQgiDpWEbAopDamlEySk5ME1Bh2D7JMXN9vBN5MSY2NHaqGAqyXaRQQV/Akj4NwXWgigbh41g5zlaT5Z4kC/noDf4CcmhQYp6vRdSi1omHOyND8hbCy0/V+S++mYj2wmoV5mnxWeK6GUKWoJdnpL1kaXu41oSdVk8N8r5nsIYDcCQa+4YRLtV0vEx/pEVdI3T4mnWaPuo1ZrxukIOPTaQHN9o+Yts+ag5oM/nZ73bBAohawD8zDiUFORle+SU0CWvR4EFosVxt2GYaJwracegko4bM3ibArrYuEz6J9FNkSqkRi0TAAx0AZpeRk1ac5sGgZ4BQm8FIU+/9T99e3Knf48B2LeaQcfeSyIvAOhUXDoe1it6L3+qbD5/dpoPhkRS3C3LszN/KDlk4LNiiYuoQz2bCJ58hv2uD0Ktsv2ch5HBKst1BUO2Q+iI5pUyVTqN82PrZUI4dI2xTfnUUmpZ9uBz9sryiZ8GSmbxvNeYb5jsPsY1IEjmKX+O8TuLJ2ejXLkfslvG06KjHzwN/2LOFXUBYSV6EaWG/BkgkzU37uuBTvFatX6DiB57jvYwX/1WQE6JAQcq/j2PI+87xgTG6889xSBdFwzhuUAgDOSk6HmHqrfVLmPM6XOykULPbkJ0UjrCNL/EtRkmhCNQyb2sWxp5RiDjMT7z7evf+TyF9BY9l+w607Va7IWBCMfZEOOmZ5vCdsaEzBdPxWMPfuPUHPL7Xn8hJZ759c033+Cf/qf/afwf/8f/gT/4gz/A9XrFp0+fbn7mt7/97U9yVuJ1PB7x4cOHmz8A+DCihS3Fy7RxXwot6c8V7b6zs+Zjy0wP3VBiYStKtrealvaDJKbAJ8i1G59qO3KCUqyL5KTyVvi5BvI6gjRbKZmdjO3i8HPl5qLDMOp9WTsFYM+Vwl0d8Ic9gxBfCTmHgBCifimybrSvZS+/ApL9vIysQX/KS1Uvu+di8W4UCANSobbE4SSzquR3HDie7csB2Asuv27k27zU0Xt/6Ni/2bMzxTajmFtAz5fKctKpoR/A52QuXwzPxd9PneJMAeu+LsnJMYmthTsyquP6ayFGS0f7J3plmAABAABJREFU0FJwz+8bM5FTz0ClPTXOpcpWZn9osPs2SLjikGSrrAWxj/MQG0XJbO2EiI9CeQqh8+SAXFS+iRLZD+toZT90Iind1Freh/M2IgDnwm+PHe1tSZv2fqfrjUNOmVP/Zsty0+yia/d7lvH6Nzts4Rw1A60NIvC4sPzQtRnzl5HdR2VxooMvlL2P9tEkrt7tqA/kX3kXUhTXUBy1dCwLeSczSRYAng5skZ5LPGwjJkJyrDvuj1ccjhsOOqX3XvGyH26QksPS8Lhe0Fq0IP84UAn1WgBYrGNZ9wyUau1YD2opj9LNVtQhRqTO1SHiC200rr8SmrZ4WjO0J7XWKzj3QNE0potEJFNnZeE4lxdmnO0oS4ZXGmQuXyr66tjvPbkm5a1gv2eiUM8R0AL+VlF+WJEEVqE9Qcpux5EwlTNJ24HIRvDenprWSUH5tJJMGYmWg+vyRTIIFWng2Y8M7NsdyZnrp4LtiUHJ8v0ySubdYF/W7I6y3RKB9eNYB7Yb6h8dbxOhe83X1yUD//VzpazEblieyeMxt+TGLJ8qx1bzPPg35VzU2aLA6lxRvyyjFBwlZfNsCS+fV9jX0QrcTz7sMH53RDsv6M8ryqcVOFeKQkYgYUjUy/fCdVwceF4BBxaJS7Jcpd+ZE1xonpzZKNHeZNgnNLaHmaUaAKITDACrDdFVVoD9Q8P2XRudUp08knzpc71ECWuQqHO+nwuCCuGr7AvC5b3ZLP3ze19/4QHK8/Mz/s//8//EX/krfwX//D//z2NdV/yP/+P/mN//3/63/w1/7+/9Pfz1v/7X/+E+QJMuIbsglnWk0FEgLOGTkqURjL+TmIYpYsbIcueXJn+aUXXL6D0g0Pn3MnPfB+cj3we6ZmfQ8l58J7MaHSyRZUdnz9yKmohRkCv7mDQ/ak2d+AYkxE0zpr/7nbzGuC8MkpYWSpRf4pC1QGTibQtG1uXK+ALNKRi8GEHdSfKM78ereBpzZbAXYz2hX0GmswkyD12B4NNYZwdFjkV1ZrsGtsgund+v47oxLcTYJGbjK/JPONduxaN8lJraNC6G23GyQXbNe52nX2R9jhGIRZY18Q/mDDJQHd4Cr8kdaepn5iz5TBml1T7mVmyMdbx3HOSzSNoQFfNBogVIelUpJmzhQ5PIzLO92MzRPdAUfm0R+fWnBNQ6TN/nGKUOCihrP7/M2JHjneTYucTzU69iPVGd+P3o5rlpiY+5GetzOnCQTuEY2aiC4RvD0CmDDhPSRF4jq802+2lPAH+2L1D5WaWFjkTPrI3PhlDkee7dtEFXTyQmD3Ltg/keKlPazvcKRCj2OBMfLBDQFKkMtFJrvewMeGFORCLQO2A4vcfSjL045rbKH+WCnEcAhi1Dx9jnYurHnjOvXccgE8e1t7GH5zo1gEaG05boUxApXl2aqsazmwREU7xPz8AaS/yByOUcArJTkn9H7tGJmOg55xQ2kAs2tzYHQi9D0DRFDLpAlJbjOhN59kGCz3u9RY3mz81zYl6eOrfmczWRPNO8+rOX383rH3kXz3/wH/wH+Nf/9X8d/+Q/+U/iD//wD/Ef/Uf/EWqt+Ft/62/h48eP+Lf/7X8b//6//+/ju+++w4cPH/Dv/rv/Lv76X//rf+4OHl69SwFxQK62GfYjsvbVnq4IKe9+zwdfnyv6wbF/uyO7GV4r29sWPrT9ozKmV/E1tookXEVNrTp8A/zEmmO762x9jQdz39Aqa4FF8tEJBzqwfdNuNnbf1eJ134AKScYr+Pm6kGh3cizPBftJ7aIBqVbH4X7D9eVAvs1LQXtsA/YEOA6PsrB/XrF8qti/25V5VPjjznESt8C08dF4TxvAAqzfL7RD/7glgpTqh0XZu9q9y5kdKbYVdAcjaQfvMw5Vt+xmIJGrJPHYP2yJUPDCkbLW5MKMjcFe9Yx07b6VXE8etdnXRYQ3BQyCtMszMymPn61OxjuQXQnlrY6S1MLnmoRJA9G3TVnU3fTsFFyWM+u2FvoN14L2Yc9xg9CQMIu0tQ9mfwfRsXNFfa60N6+c/3Zgi7F9f4DtQP/1znLg68J9L7gsuqYupAhl3GMEvK6x9sK5X3Zuwn6kiFqNw0I6Jw6gf11hBbDvD4n6eDfsO2vZpXSSYs9rboRlGUTUlLc3/r2CqMXzlQZ/76XuN3nwfDy8YSkdby8HdBQ0N+y9oPWCVUFR94LztuDDcsH+uuClHW7UZoN/Uq1jbyWDo32rKNbR9gozYF1pO9BrJdKqw66+FOzfbXx+V2awyyvRFTfORVd26wXo930IpKmMgUb5+nKtsAZyTnSgWzNmoHm4cr42HeAeJnPgIRttwjB2DdUzSaH96Ng/NCyfgms2nSo6HMtmjEeFFJvKK2l4GLyFXQJoZ0M/Qoq6fL9yIY+jXA3tyRX0q+Nj4TX4SlLp9TtLInB76HnA2rXctDaTr1UG0dLALiaA8/gqvafKPbd8WdAfG7Zf79ks0I4OXyC0R5n9gcFIkJ2jpbfdE2Gnm7rD3hZyWHZITfg2YK4vRGf6h05z19cC/8sX9JcF5aWOs+KuaXydZ/1JSPFWuMQXnkNde4wfyMHZfsM922SA2x+FFH9swLly/TnQP+40VTUQLclgzGB3+xCnjIAwApZLQT0X7N/usEvh+XLvozOsQmU3BjP9iY0Nh3+w4PqbloFnJGX91MljO+jsOE78vOBd/czXP/IA5f/5f/4f/K2/9bfwu9/9Dr/5zW/wL/1L/xL+7t/9u/jNb34DAPhP/pP/BKUU/M2/+TdxuVzwN/7G38B/+p/+p//wHxhZS0TAc/ZRmF2lTPhUM0sJeC36zCiAESnuJJ95Gb3t0AQbn8/ft4gmdS2ZJdYON57eEaF70fdLzCB9VmQAkW3oALrpwZ8O0czoRerrrSSS4pHhRRkrLj8OIWDUFCN6jsvpYAusPsdivFSa8BwjBhfhvcEPcKCVH2cH0R4HjfPE/+DPYDwD84FAFbb2ZieJEJvMODTW3qeFN73yWTnGe2pDcsfokInr3Q1QJSwzu5gnkZ3OnzFn0dO8MAMc/AxzIAUEI+uLNCK6vroP2fI5JYn7zPuYPjwCG0zfCiFC2K0J3ftXzFXdpxtG7dpsrBnHIA7q573bragfFPDlD8SY6XuZ/WHM+wmdCAfj7kBrJsO+GN73EwUpVV+EwMwdN93thlQbr2OhIvLWa2qqvO/moXrt+FoVynOD4MQa1UF+kw0GagvcZKA8kH58Tfl87N2/b+a3fqQZ4H67R8Vl+bR+gWwbTdVQn364I0Xc5s+OOTD/fvKrjvNFA8GZyeuK8bDBpUnDzVh3pnW3DAuS3KO7JcqSLakVA02K8dC0SeE57ZkhVXDz6pDqtd5XHEUL8ieE1prlfsPrMRJ6N6RDeDwbi599fwZoLkRXnxuyNG4dlAyYy7RAykhQ8mGM/Q0VJj5jRpvjNuOZTjwaE9cm0ZHYk7TeEp2N5160V8/3E4mmTft97DPv96A4K97tQ1GyYmfPdA1CDm8sOX7P6x95gPJf/9f/9Z/5/dPphL/zd/4O/s7f+Tv/v3+YY/RUd0ulVdb3HU0Ii72xG8HU+dJPDrtvKH+yiizW4MeG7dc9I257qykjjbuWYlkogD/2oap37DTjO3UsnyraQ0d9Lqzfuh7uoXMeXNne11e14Z5rbjSB6sAc5XlhZ9DiKdvc74hY+Fawy94aryvKZugqi+yfD4AB5bsL+QQAvJFNHpbb3i31KMo/9ob2QmMsvye3I/g3KM5ulIDwDh3LH6/Yv2lEXRzM+LtheSnY0SkaVZz6C4Iw+4mIUzkb9hM3L39sKJ8W+NOenSFs1yWHIXRc/NSIpiiqRwe2X+2JtJS3Sk2IE1JB1UMkrQq5iDJPZ/Rup4by9UAEohv5AIcOfHOFvy1Yfliwf9OEkrXkHUSW0+77QO7q2Azqc0H7dudnnmtKvUOcC1t6SnUbYjMR8fZLQT8iLQPyoGkUCQyNhzD4C0M6GMtYfpXI08eNwasM/eqHDS24Q4HQHBvKsbNzLAirrwsglKMs5FH0vcA+brC/f5wODV5Yf13In9EytMedXVkfZKPQgqjHMknv1O0pJ45Pv1ZWQWQS2HUYb61ivyw0CCwd351eUG2UWpqX1DnZO1GXp/WCsvQMOojEtOSYFOt4Ol1wVzccny4phd9uIgsGQvxewaHSYHAxck+O647rvsCPHfXY0N7E2zo19IVmb331hPn3pz5aiOV1ReVZZfARoIeg5LEB11XBKUZ3mhDI0kCBtpXcLbsWlQqALvnw/mGHvXCt9ocGf5EMgTh1Ye6XQpamPfO0A8/sBGr3nHu5hnbD+myAlTHnHKlZ1FBQnyntvx2c3KiHlq2w5Wvl+r8a2mPD8rVi/2anrlAfjQGzblT72HD8+wsuf7Cjn0k2n9Vn+wK49uPlc80Aq++GMEvsdx3lraIvQsHFxyJPp5AWsHEfdhHs108F21/a0QrIUblWLD8s+hmOV9c6tK59XwHY/qFlIEV+Xc/yswsF82bcs08sHZd/cET7lWM50uajH7jX9hPRBlcJuoPrdvlwRV870c9N/BhwT7SHHfi8wh1YfnXBfl5kVyLkZC3SWNJZIlXpcmjw10pk5w7cq04N24l8vPWHSiRFcxIFLBt9Jjfm+pd2osjSXrK3ms0m65eK6296Crn5hfyq+jI6I3/O6y+cg/IX+lLAYNuUYUfGG7V5vbJmOEWRFN1BIiWjHgAGMqvfGNUlEqA21CCoZh1ZUTpb81R+COdLB1AxJLBnDoqCqugcSs7MVgYxMQ6ouA4d0pHdJuPbwcOlEkbP7iPnz/VrHahDcHcW52GlSJdy+cq84vObhM2mum5CzlKYhCPJmbcZnSBlV+9/BzOkeFaKzl08lFlzJsauR802npPqqv3g2WoY6IpdC0sjAK93s7GoM1NyZWTKqOaswKYabEGiVV2b8NwBFWMx338y5CNzyEmI2xUX16N7S/TIdN9y/sxAKObf+wwkIwU9t4nHkNl1vC4y2Iv7n9AMumDrrQo9Pvo6ujqwiFsSa8JB9CPcjTUfAD1bdcDEv60S2v4zWXKGLLP0RDrGQo4243iHg3RL4lVstAeP36G/z7KwZbnDflILZXYxNvPkooTTMuZ1Po+BMtswE5y7FaKrKTr8EnEIlFXPKHgC/hN7V1/k2L7bOGwr95EsEYfTrK7Tug7hZYxNILDRlVeuIQ6GvI5AouNe21HiZNFBEkj1JmVcIYNRegnfrSLJ/kBNEEtsRoaiXdY81XX5mRhcwoYbS5G4vzIRPcPgL+8vtuyt/EgfKfkbChyGIjZIYNdBnF1VhuzmDKNQNx/y8LHWfFwz7097rCQsALDbs4xrBpBkcszPKdclcq03tf7HmALIoMFFiuXv2riWQGrzjMOYIwD6eRnPPZ7JhLamtUH1Se5gBNvZ3RTJO8Y45Dmc+xAGSjeP0+95/aIDFJOi6fKliBWPUXKZhMrIbtchfqkpce5PuwTZyhDPEiHJF0f7ZlegYMBO3YP6UnD6Bwt7+Bv4OSJgNXXi9IcGu9+xvBQcfldoQPhGFMO/3RhBTpwKAER1OrMX+3iFHdow5ypgAKFgx66GImM/LJog1zJkhZ8X6jisO7OzaVOy15pE4P1SYUvH+njF6f465O5TbA6DCHcuaB/3nIzZYlwd+4OnvUB5XkbXU+e1+uLo38i+e+fB69HlclRnTUToax8aINNzbI+ddeBmIrGyy6U/qnvFIDdox/qpYP2+JkxZXioF47SR91NXjVb30EaHji8i12pzsko0xzYDnjiepvG0Kcj0oz7rayXHQAaCIcw0kxEjmAyRLhdqFJ0YtjD7Lq8V/dBHS6VE/5IbpEDSVrUvdmkMqBOox5wOomxxLF+I7ljt6Vyc9WEhP94Ny3FHrR39qbHjoDrqw87g90DOVzio1pBrn122zdH3KUBZOrkoE8EvyzjF2TlTKJsfr7edWi8s24xgZfOKppbhp+WS7cwAcCg77pcrf8dJit1bxalsuDuwlv/ej6e7oRrNAlfranlmiWcpHUuleWEJ8zVZF0RJp98RofCnPUudthfUi6G+FdhlyNyXq+WfeLmQ2BQZ2wdahULJ9+3bjrIB62eiIP3k2B8b21kN2is4F8OU7fClpNJnoLB9AcoOlGvB+mI4/ElNDY6yMdAoF7XoA9h/vbGDUBpE2Pn/9WvB8lJoTnh0mqMWx/JasHypOP6u5P1SA8OHRovz8+ubpRbU+tVS92f/9Yb6XEcwdJV4YWHpqLwWHD4R1ekLEUU/UsvDg4OzOJbPletoQ+5PgAKaAzVM6gufDwAcflfzQPaViLAffNgCLJ68nPV7aozUN5kENnJ9XEGaq4PR75vMIR3r04XrrhXySBxobwu8FdSHbUgfaI9LSYLqwNcV/rIkFweF74djw+F3dXTlvC7anwtLXM1owXIuSWKO8tvyuyX5fJFo08KDa63d9dHWfmE5zffCikJovgQPMCoPzYTUIddBSl84VXr/PDoofyFS9///evnKjKxLMryfNBHfIR7cRBj13nRN7JaGVhltBrPdcCP6ZReSftyADQPCswshPYallgGEm9NlVJLWySMJkmUTmgD+GltTFWh1YzarLAmLp5YEKqPykD/3OulWhJYAADhJiiG2FlEwtQUKfI3TgRD89crDKnkSsZhDjl2bXGrNBEwcBFpF3yGTnKXR+Gy5fQ61QrA1tbG8ZM1u0Kp+GoFKvD8JhSBcKIY6LgXe6kAe3irakZswBemcJRLHyAQiLBfnpPhAVtqdMxDUhhR1XF8xBbGWzyxedjH4vYT+piwh0Jc0zpKFQJLKArmayNPoZPv3dboGzZN+FN8mvu4GuIKVkNCfEQqx96NTqx/4Wd4YHPXgJDUbxNdW0Ftl981mwF5He7KBvJHqSf7tpUhh2IAePh42ssXgKHR2OVnxNB1M1MI6ltrRm6Gi47g0HJc9byN5IzBJ1dOaYikN6zoIsQDSw6dN+ddqLTuGNq96nx/zVcIBGSCSUvQ7Yay51I5eKjAuTXO0Z5tqZLjt4CkAVqYA2Atg7sPsUusj20ZX58Ye3IQugcKD5yETa6LLJwkrsqQDcJ2GkWC5GnplglJ2JOnRixGtQKxVpM5GoBLRhuwFWYKGGXoFanTgdJkkdiE2btgefBx+QB5mQZCHcy5nQBBIITCQDCAtLoIPY5uhfWzYryIeH0agmJ2VGKRcXzu8lyTBhqRE3tNK/mBfHVYt+SlQdw5Lmzwz7MKgs98jTSFJ5NXfG4Z67j7269j79+uSIooeZMLOddBNB7z2oVBirseOtmsMtEe6kr/9wmCkHX0gMEKEUvq+MRgOJ2NzSQaETcAyri+XQnUdgdN+F90+gexW7dXaggI966euIZz2IaFB3j0DnZ/7+mUjKHfsgGj3zDz7XaMcvAvK69QWsB3U5riUNPe66U4JnQpg9H8bWDqSCd3yoon9sKP9aktkZnkzHjhamHY1rF9pLmjfXOHfbfDjsBbHVtKbJgmsS2cGfUfug+8lvWL8ONWzQYShPGzpXIzDkFi2C1EU1jCBdqFhk619CMcVblg52dzQt4L2Sh0Lk6x3jsGpodztKA/q/wtWverC5VyGiNPGAK9ehEq5fl5KkcszJzRWlpTWzxWHH8oQbIt5a+IIqZQW7dyh2GmhnGn8/PI2oNzlS0V7aDwEzmXSV2EwYJEBx+9v7HQIvRrcCbk6dCmuKug7aMGHvHb1oQwJUFa8sUuqPm3DmFF/ImsoZ46LO2hzHoiMng0cMgJTsBx8AL38vnHTCaVijZkFiXlubzRPV+F4737qAzE6V/kUcezKsaFoc+xbgXfq+ixfamr0RAtkWTtt3veS8HM9k5MA0/4Ua0qk2q4gjIRuY8eOAoCldKy1oW/037lbNzwuF1TckmAB4NLXdDA+lh2nVaaC6sg5ljbJ2rMVerVGbol17L9HsC0ckJfSUrzNnQFAXcZaipbJtMdQ90nohnQZ07E1Hkkmj8O/XEoK/NmV2bg1y8MxhOBoImipml0uDJpNnIXgeoWKK8uuoIYIgHrle9S3Sfb8SA2f9tDyYAoj07JD6ySyY/49PisPSYCBVxMvpZv0Pxz7N23I74Nz21XmXV4YyAXydFNSKTQejffv95JkVzmlXoHyuKE9diyvloaAy2sZn7NQzr8ffdiPyFG4ni0zeq9MXgCg38k7J8b82LReo/nC0sgQRYmIEoTZjZoS79z/yll725X7k79RA8fq+N1ElN+WgXLXUaottQ0EIixcxFPzNyIq7bEnsmshSHrsMBlc1jMYFMR6PKrb1EChRZXOU25iIafEq6f9SwpuTuW7TORFI7AGjvd9oy3HFPDY0sl/2wD8fADlF46gnCtsQUb8aEbC39JzENp9T4ayrzS/swgUAB56LwtluCPqU73Oi1OkZqHYjb0VSrNXwqtYHNsTsnTgR07w/V6b0NuSaou2FeCqKFMoBCpGr3sIzk0hY8CVXpFeN1Zcttr6IXNBZ02dJza0AwD6axiz4kAQ9sdJOCzKBGFuJq5GCKwR8RHJKco6xz66a1IYT9epgzB9dYQa9PuGrVS2ocq9t51CItvStMsdlJ2XyE/C3uLApErwpQBH+mVQe4Hkq/bATbTdcQ6ku+fqQ21XByhhbwfOoGyzsoT21Nh2/dST9BpjHVA1lj5Qmd2wP+qZiwxmF5Zu7CJi4jE2cAU66xh7jw4nLXa4YfumDQ5OoCCLnvfMQdkKN18DA+2oNUd2o26BzHgCeQLS4Tg6i4jaKWoWeTUz5w4KTT1uKdAWrduB3uxP0drIse4bvYmW0w4zx75VBj3GTLfWoWMCAGvpY14D+LKdOOxTxhUlnt4Lgxpr7P4RGrKUjmMgKOroad2w2o5aSIS99PXm/QBQUt9xo31SlVoWc6xrw0WXEciVnxrqp2W4nxsG50Ol18iu2ynKoBD6pqB7M3QrWIQuWgftHpLE6ZQckGke14llEmadApEwRz9o3VbQ7wbAfqBxmx8crr0m/MKCW1LkMp58p+CuNM2jRdm3SlPBK2mnuROGpRcGHkxIrCt5NOd61dAEipfcjU0SDM0yEEyuQ6x7cWDaCXRv78D+4Fme76sn6RhLh9eS2b7tRu6V1kCsSU4S7Vkdg2vlPFvgGMThQjR7f2DrLyXf1R6daJPu75FE5p5lOv0RYtGvRIBt7SRHT55ruWdJwr7tVci2w8Pgb+1EjYEk1hNVdlgR6hROx4tjv8eQZlgZuNDcT+8nS4X09XIlYoHqah9ih5JnkhP6VbYX+ENHs07fM41vaOnYszgyx87mkeu0yH/P65eNoOgwzXJLs2EHLejUj53M6flrxYeCI4D6Ku+SqPcF8UncFTij8Xpm3bWcC+uKqzIk8CGHBHt4xZjUCHmtvLZyNZGIJvKUINz6Okoj0OEXkGsJlMdw68miny1rS/O7eUMvadOtjNZBPYwgSaq0VReB3XtJM8ByaElStWuhOZcgSqtd1wYkhN2QgkhxiKPoHu4a/FEcDtVr+0mdLZiQKzcsb+wM8oX131BHDesCRPbpSKOtqG2Hl5EH9B3lkTiIo6QSbX+HnkTbyGzsfpctgjLVJNJpAS8+TPbKlOlVbvzlrSZKRY6AxqLbEKFzZDkF+zRPNCdKGEOKL5J/DNRz0SNO+XQAdXYJ1blxI86n3zUFPOVuz/ckBGs5LsFvCd0NdClVGhT8+OCwGHLc7IG7tEW9+lpQl5bcEte1mAKUtTYRUiXa5sjAIDgo8YqyzrmvaG5YxBeZ24MLHMeyUfhN2iguZKWYS0eFCEr7CaJsBVVtZ+KtAamrMrvklmOUJjXkNhADHq7jWfRTF4oagaj+KoStXJHk+fULDfXckIhFl6N6trnH+3ShgG/iiKgMUM8GE+iZqqZV16VgIwKFclGLfhy0zmsZsgiakzIsTO6lCP9R9l1kU+FVUvbix8R6tc7fTVViJwqFZly3WZ7wXGspvy8Uqh09zVj7SZoyXSWa4FqpNG49UC2QZ6LqQrkMDl0+vxkpdaQJqE8dJy6+C1EU5KGLSFj07Ov9PgQnFVxke33w+6oPM9goe09BWSqMB6/LMMwYJ4PPtAIIUVJ1B8b+GHylFMRcefb5oSeiFeroc+MG1XK1L8QeGNWHMCkNVLuB+9upkXv1SuTVtPfVVyGrUXqaE6zf8/plIygL+RT9jplqCJmFlXXwCHApI3NeeGCWc0nhtv2xAa/LTTkhZHzboyaZWgO7PB3q9wu/J0VPP3YatgEjEFpbQnxpQihn3ciA/MT2rMhS/cAotLxURuLROncWkhMIUbC0Az4MDoqzjdhO0WPPVWlaPPaw81CMIOGriIiHEbAFUSszxbdlKOLeU4eTnUJAu2PQ0E5CPKozewlSbyzQuM6N2aEXH0xwQZsRLu/3itI7wFOVgYddC7yDlgJXg681S2ddEtD1c2WUfhrBVSwkb0UHvScZFCZ0KjZ8c+Dzys1XAaZ15AaK6rDnin7S32tkucpaVtVgBam2B7U8RstyiLs1g3sRAuKDs7IV1FNje3BwdVSPBhh09Ncl4Vl/0MGroDI36fgagH5mmc8B2A8H2Sp0SEYYZe0smVwLuki93omSdDcQohD683llcO5y4RaXJEzUyqExcAdQ73a06wHX1wPKoUm91lCKp9Jsd0PvhujLKceGqsBjER8k24xBp+LXfsC2LTiWnaWbpaEpGGGJh87FTc7GtTgOtmMxIijXviRyMpd6avEMZAAp2ar0dHcAflDQV4+N3J1m2D+0QRzvQjiyw0HrJzJzERRdydSQkS9JNK9n8gXqld8PN9gieQK7kotSv9YMjttJAUHjmVKfK3p17E862K+WB1h7oBiYh9+TA+1eCZTagltnKSNKQHYt8Icd7QHwWlKnpF4skeTyUtHXEQB5oJgdYww6A7XyVsTD4bovjegywECiPTVYK3KBF5BzamiLrEOCExGly87gqe0s1Xbnnlk2TvF+UqLTiG7DmLh2Y8nfA+2a9gsvQqzuOnDmWu9HJmVBhPZY88HPuhr85GnyZ0uH95r8EFuc0g3aX9uXA+xxB14r7L7BXfuAzikcOveHrwV4YOuvXQ0dqwIbwLqhfonzo6Z5Z1pKrB32VWa3smbxUxO9gfIJHoagG8jJik6xwyg9tvtOBEfBUKoDhxLv8wJXEL5/MwUgfRK+c863/9d08UR2HvLnWepxjIzXlXkEhC54OTxxmN0qy5/liuN74b2hV1909lymdrzgNYSccpm4HN2GKVhoEARCAygaRXaxRHZf1LaXP9eo6xETGACiOyda7zIL30vKrmdWrFbJlD5XUBCoCIm5lp9n04Sas3Sbfj+Y7VBNOhZEBINpwBeZfLdbrklmgxgdMQDH6NAHiRhI7ZGQ7DbHaD+MLMTEr3EhEdrAsyU6zm59rs33NEX1RZ1HN9cb3zcZm8VYFR9zxSGEpZOfYvp7QOXmQ2ZaHKCch0Au3kC1OI98PK8YD42DlWFQ6KGmW/tESoufH8s8s8eZvyJEI8YyOTE2xi98fIo2WO8qhySxF/ms45qXhehdeEOFKFsSbRVQzAhHqY6CfiOQ9l5Jdu8FrZEgCyB5LImiTAFN3F/8v7thk9JX/1O2vwiKbko8U+sy7QGEhqx9tA9rftyIeE3jmEKSPiETnesr2lEpsIbsrAlUMoYgXJNTpt0x6Zro+neQl3Lsg78Qc+EgV+UykJGuLpX8+gKU+MyCIYAYKEHM+fw6r7MvzlKpifR6IMyfvmZAIgU3rfod1LCKfUDohO3I+7TF6cisOZo+aYaxT/ZBRo5xDhQhPJQ8OCmRWGRDRUwwG/cV1wL9O5Ay3WOg9vyc0dXnsXbjnmeyqFuiRnZlcpB7wjtkIc6PelayEvc276HO/So7dGRTkZILSx/7XiDR8f/Yl7V3BsI1c0ti3s7/ZjPJ7bwiYsw5gjCFlVccS/VCixSU/tzXLzpAiW4Re6k5YdPhWOIx5XnJmmZE81idomLXwgUY0tVaVOVioxVKv1efa7p/7h8arn95gy8d9Qtb2WztjLYNJB9eKvkwa2e5YBdx1EbAFA+3f9z5EGNRdCTxqat+nAv61PJaAxr0lTwJ2yzJnPWHJQXZfFMP/SYjKWXnvlIYrWz63OeV5asnGll5iEwdO/BhQ3/cRyZfnYZzHcAPB6SL89KZFcgwCkAa3q0/kGfT7zpF2qLzYbIwh4hm9YdllMD0DNJavQP7w7BatyildOQz8qZNbWoNhAH+urC176oxCY7JNjQh2pMWWELLNhC5bmgfKVRnMk4kf8hSYC5bifU77Zudgc3zMnlfgAHrA8XLmC1y49pfVgYaqsmbkBqr5ASZ87P6pcJ/d0Q/L+RCtAIr4NwTwmZyzvVGcu/+6w3+uIv/wjHYzwtLF6fRGl3WjvZ1TXPK6A7qx8425k+H4fJrAD5s6cQdG3NvBXa3U6DNgP280OOmEKUxcxzrnpojx7rj7v6SJNXHVWaB5uSYuOHaKr7sdwCAa1+wFiJ6TeWfYuKl6Od3J+dltYZijr1XnNuSnjx7rwqOKHX/oraWpXa+d5SG3IC7hnXd0RtbuANqX54lXXDssDMlBZL0KqHBmIN99RSXtN3QHxrHVPNhE5dpf3CgAPtTx/7Ucf2GpcjQVdnvPTuC/EBn9hDg2h86O3gCzVjiwOJex5Znzuv6ynXqRxpQRqdIOxAByT3rmSTO5blkx00/iPz+xyvLpOHuq+659RMz/vpWMmg2iVr2uyEc1+9J/vXq6gLimt++aeM+t5KlHbuy5TtQpH7fWHr5WonaADh8UolYXZm5P+qgDbmFfvD0yIFQpXImWTlsBPyu5f7rq6M/7cNEVIE+mwW4tv3CfaQK6a4/rEStZFsRTQ80WV25f28iz+p3yrnQ4FHdW7gQ9WoPjeiweCFeHe3eGWSuQk5aSY2uLEt3BS9HEv/9vjFoc6B85f7XV61v4/OtnxZyKr/lflG/VixfaPeR+8rSiYaprRrNuAdKGM6XQGvBstnyLvH8Pa9fdICSaEVA+AG1R1QNZh8/2dYUGcD8dnPWHcGMMldzjAOzauO3KTO5iTAxMtQ5g4nLMEyZpw2jq/jZIBcFT2VGAjC9tyLd6FjSL49MXVl7/m634VwJDM4NlG0HL+f9eFV2L2SXyQzRucZ4mkkWzyR+LPguEZkruwjuQtzzDes70JEYz1hoOX7xPRu8HYMyOKQAVP58XqsNtMkxOBUTAjXmkI+Mr9t4PiHgNGcEPn0OgBRHioMsarU5xJZjdVP/BQYEGj8z38fMKWlD0+Amq4q5e/P89WvioPzoWt0Gx8WEQsQzCWQvyH4aj+yucVAUUGhIXKq75We5T9egzwBu0ZHFSJqdkQsAWf7p4pO8tVtuShHfpIN6JuGGHO3IgLgl5thV9vkpOfz33ULx3vH5oY0SYo+ZIecYEm2wSIZi3H3w5JK7AH4d81wSmssAgF/zCDDWyHLHzyZ6oPdNGfx4XrFPTNMpdTACXZ4QiYTt5a0TCA5LUtN94na9lp2/k+8X+0hc67TvDYVVH0iFTXNL8ytJuyGWOaPOmH5mGtNE0HM8MST5A0XX1zPp0D6csv7T+yeKMqMFpjWUe86UwOTz1l9jLbx//+DAFb1n/DueZbxHcIDiuURSGmMGPvOYG5mk51yUfMI0HnmNQtTz+tyGMF18Pa5XXZ3BSRq/dDvGA9WZ9qKY7zF3/5yvX3SA4hI3Cov39t3OTWMrsDfakvejj8BBPgXMaAT/XlhfTVGdKptx1UrtzFro/i2tq0MQyc+VGelTowDbJD7jdy27WwBg/9i4AUh0q983+J1Ips/M5lFdcvRjkvXzwnq/Jo7vBrzVJAdHx0aQOP3YGWk/NLQ7tiPDbTKO8rxvdEO9I0+jH538lcXRP+wof3JgTfpAeXyrHb0bzfh2I2K1FbjY2f2+Z5eI7wX9TchN1eIVEnP9ldrPdvJa/Mrs0k+NKNNErG0PbEMO7YLkfzQy/uuLyLwO1cc7cKKomL3RUC9Imn4SvKjrYGvdtDqXnq3DiEwtCNhzpmQg52Qj18RFNo76dgYP5wpcC9ZPFes/WMnnOO3JM0JktF16JM66O8xhdyJjSoslNUM0n+oX0cbULdQfGsobzeDgyO6kfE6tyPCS88tfF7gE+sphagXUYRHoBsxRHrYb1cp6bOQ2dQM+bmivC3qzGwXa4PaU2rPE6I0KxraIByP0xIAbkutSWqIg7oZzW1GnU6mh4Norvr/cUz7fqRALAFcnryRIsgDbka9dtg4q27ztK172A8tE70iyS+34bn1JBGe1hlU8FADw14pShEaJ5AsH9u82lM24N4DIg68yxlMH1+xSnCRO/buEpYTI8/3EzsPjH1d+LwL8KOPtRDKi/GLXgv2xJZeinEn8XL5U2MsyKdCSq7K8qq0ePOAClbEmkuuRe1RA/q7sHF3WH47JIG/H9sTrXV7IDVveeCjuTyyn9KM6PZRIlcvo/rNmqF+WDDa65v/yyu6kEDEMBV2uN2b6gbpEe3eoTftdw/kPiHK6ylzLc0khOjjLWvVckkxqDVj/hIalXZ075UWdi91EZuYe5HsZwo6xpguGjo3K0fvzivq0of/V87DwcKIP0VyBx40ihxHwGrKlm6UxZOtyoLpZNhd65Mc2EsI5iWkgUqQtzLtR7M25f5RPK5HYX208n078nPUH7rv7dxvHopETSWSPPJM5ofWjSoSvU//wMvbyG85JCJv+zNcvOkDJVySVU3dG1gOjzjhnk4q6U+I4WjMjAo1N3vlzGYECg/EdEFq8X2Qkmx6cJhDmiSNCYUTyXnzU/CJ7ixp2wGUdWgC8j3IdCz0WRiodRqQvPou3GdbQ/yO7ipfucWZw533PqEZG5tNkE9R7815zDbfOnUrIgy8hvhjzGNd8HxvwrOHdz0/Z3XSt/Ixxvfmc4jPi61F+ic+Zs5pAM96hDtmSOL/imcZnRtYQyJimXLbtxWcHYW7OuhQkwfAjdGpG8VztgGmYqPdPmW8pyOYzm+7ZprcFIJ4LxlyNn/UxNhY8hVgPGptE9XrMET3Dbj/9OcCAm3GLmgAsBcXX5zbf9xL33Q2tF3y5nNAuYzOMEsx7bZMoC7VepvchhwVAoi7vX0nYhWeJpyjLLxoH99tuuXwG/EXd/AiCs/1eB4hHxtuiW8cTBeDvTEtNe0244JY4GMpAUazblMnqF99nrPp6WnwUJLk8uTAVY7/skTUHAjTWEfcvXafKoDldtW5zzwvkMTg4Oe+nvwd/LwK14L4E90pj12Ujku+vYNwDhcmH6OP/0+/PCGauo3I77klO17iS86XHKeRyoDE+0PsZSdBemPyuZewr/HdEDbF/6E9cR5neN64rgo+Z/J86MtM6m/b6RMZMiUE823hPILWN4lnkXJ1eNj3vG7Q51kPB7XyLczV+X/dlwcH5ma9fdoASsLYmjG8llVqtYTChZ8jcmSH4XUvRttMfLeSdVAfUJkV4FcDDTub5K3kG/ZECYuVCk6xyLiOA6IbDp4L1h4VM6Tt18YgIWdQGWJ+JzNz4NDTLDB+Hnmqj9kpzqKgXLi9GobPGB13udtz/+hX2sPNnJIPu1YEvS2pUlBDkedx4XYVS5CyRiPwIZEeRn5htw5HKtqlieWCJqzxusPsJLYrNRwRaO7YUeCsXIR6SrMaR1+Onni3HXER6rmvH/pvr4J2IUe5HZiLtsQ+4uVILxV5qtrL1x4aU5A8YtTrF/d7qCDCFKPk9u57srjGjge6jG/C054biM8m1g6z892WaAmBx7N/s1DPpoPbBqbMNV1luqCqS98FNpHxdkviNrXBOqytt+X6lZcChoz7syUdyaTLUF/FqBMn6Pc0by9OGINnh2KXhYuhbRf1ahyQ/gCZCa4/A46CxnYLa+uEqjgvHKInXV86z2TG7CAViBxa/VktPg0AA2F9WHAu7bI7rjgrHobQMJIAo1xSc9wW//f4D6vcrjQTB9uRNCEoHUZW9F1z6iu6G1wuRmAJH6wVbqz/ZZry3gs1rKslGN1Exx1o5l2sZAnUlgoo3dr/0x3epYQQcBVwzQkjqs+acFD39jvuRHTp5K6rnbx+48ZfXgnq2RALrm5RbowRybEJUbkvCqb9ToMQA6Ivj8uumjqOO/nGjKeFmfN+7RtT4maJu5QrU58J9p8TaVrB9cK6fI9t9252j3Xe0j3vqplS193rx4c+jw5idNiRRcn8g96K+VOwP0jd6qUP0cUKZk2MR5N5lKlFdGV0EchDSE3M5pLxRXbyfmDTUC3ltoQ/lEnhEoykh7QP0TMPjJxKYtcMfdqIkQvDnRK69LqMsVKhVUo/DXiICs75PyP5Rgmf36rhZtI7ONc8Ru/LMKmvjXgCgPNcUmfNDpyz9qefnpi+bkDo4aFnhQHkll5NmsETMqbGjwFB+UMvnOqQuwGv31W/KWHYu/Dk98PI6kqu0SfkZr192gBIR3XzIa+L0RWhGdEnkIQKSuILU48B+IvvcJeqTWUVVnU414CJRoBjovo7oFA62AKqGDCCDp8xCAaED/H/yBiJqj9+RU7JtZXQnNS7CFNiZstvLZR3ZdzP4tarrQp8Z39NCcLkQJ5FTWVAqCcbvvavL5r0C2frqjsH9Efw4owPM6H2oSurnwqzuprbcb68zsotEpeaofO1TzXSqn+pAiFLeTddBlnW0ycQcmlAl3wr6ZZLOn7M9jL+HOuTImiaeAfj5qW+g52IKYoOc5we1KU/8Fo97mOvhJog8xs1At+opaOhHigmiW4o8zVo//KFpDPX+XfLos4mmKVM3QBodDP7zmbjddChky3bl70FohutPn649unngzLgXYwB36QsWkVKrsTx0qOPAD9E1d8PhuKEfBzcEoHz97pUBC4hwbF6x9Yo2IYm19DQTDIRlftUpDbyRvMfIQvP5ai5klptrHDn+JvJ2bs7d0pojEVwFqGG3EG3J5jz8QlE2uBIUwdIDiqAhHljOP4zMXM8kNTPiGmOdTck8lIRExhutwzRC9MGnmDN/m66pjPcNHk1m9cY9s8f+16C/YxiOKtnL9SykOGXzA00KpDOSz9jP4/a3WZ+GqM7cGtun5NCrJxk30dAOrjl1/0RrcSQm0WCRe472VABDrwYM+FNCQDyYvpUhC6ASKWUK1OxhENKusY3rDP2SMJMFhgdXTJGF5PcbBF9oTN+GIWPyWcCkMBSu8x5jmoSq8c7gJi0Q4j0CPV09bQnQcdMFCje2aEcZL9ruf8brlx2gHPpQ5ANGrbWTj0GjLk2EYM53w/KZ0uNdgkD7r8gvsVcyvftDG21oe6E42MOO5UVGSOK+sO/bE0asXwuzCEWmvknULeqGGu1+x3a5ch4TIbkOe8H6paoLIBYKF8B6t7EjxC1bevte0L+XocaFv2dvDHD8RFyyrI2S5o0HTf1c86Aq8mSITCuMtOA2ZQpaYOtY1LhKyr1RoKseG0w6AWjg+wrVAsAo/tiYYR/6OKz1GclVCTJbZEIARaeURcVCKseWY+/dyD+pPmr2BlrFn/oQJ4tgILpmgn8ScvDmsOcF5esiif7Oe3BkSSM25vpckpXOG8SPMwMhKbYp4Kwdfi3kCDzSPqAsnR1HkdlUmrbd1G1NGd9J11jYeVS0oYbEPj5smfHBDaaM1WdIuqlr6sr79/umgLhk11YpHaY/ReKEdi7kmzjQd0uRKavOgK5brkPv3DS7NmO81Rxnb4ZiyADmVDmfX/cVq3WshYWXpXQ8Lpccgo6S7cG/eXoBPmxYSktC7Gs/4NpGR053w2s74HVbsW9D7ulQGk7LhuYFmy83KE0pAzGhkizn+lLo42NGtdv5QLDCbrYgXyc8Xhz1rXAOKklKZegHzdU3PpPkA+3SOglOwg7g2CniVpBJTTv5BMd7/t7c3hzKp2nOt4NWE5gOj25EvSbV0SK/mWh33j+wk3D/MAk+dkifSSUDC/4C9w/bqdYd3JsqpNorv+bHTvR51880UCdKQU64hkfbte1ax5JdL2/jemN/r69l3L8B9W1SizVyVnylblZ9LTSKjY7IxXH9VUuOYuiUlNcCu2sc24c9Ayhr5PHEXlhfiRYkr2YT78+cGlK7EJ23yu6cc+XXV3m1Xan2vHypyPZkt4FShBjctVDHSl14GZxG0mbaZzcbJX85otva4a9TJ1M0SCiQOXwpI+YO4bYC8jPbCG599fRkSnkGc+4/T7SeiQYHy0QTwIed88A4lj/39YsWaqODr8EFDfZjH+1eDpGzlMlFjVPZKxZH+VqwfySkic7SwPJS0O9slAfiYW9GaeWA+fTzqc8RAf1kEBZRfcB2jHwdaBQ1y4x7N3hXq+KpoR1K+l3EH9sN+yZoTSJyyU1YfCRGwXHYMbLkrQ6Ewxz9UFLRNCSOfWGpZUYc/CDxqcZsN9pmbS+gRLQRyThXJkmHNsnz+43BIUsMui8HfKsZ4bv8jspZ388FaWwJP42s0p2Lqoew3gJIoxw0wuoco1WtlpvBd2U3a0f5vLCt8TQIZz4jAnXujnAKq8X1GxDqij20J6I0B6IYEWQASAg6RP8is/GCkfEoAIwsytdOPY/Jg8eCuC2Y2LVJ9sjMIgAGgMJ2Uepz2AB+TAFXkhUtr51dY7GjAL0X3tpOgvHWOXctDjVDBnp5v0VdZ/FxGj8sHb6W/FkrnqRTAOJ2eP59mAd66px0WDoQmznu1+stVwfAua/YOks3lK03XPqC18shURkAaUD4tg+V2XjF3ysozlasp1ptXFctHXXtNxwU30PsimusnOlW24+OftEaijK/SJvZBVMBP1c+PiUxfq1ETXRIBXpRX8rgnSxOg0qJZxFiNwUmwRsB3JiOd2W4ebtxkCjLDbTDds1vGQqGkjUTmqqyjqU1BQCiB3FdDh662mvaKZAJBdPT/AtzwgzqxIGxpvtWSQEFEqHkeNkVCFJqBDThDh0eZ3OwlsKYmp1eALxVrkPws8uloHsHqiUKVDagnSvqbvKRQkoi7PcYCJKuIdahF3A9x1pRopOUJVMAthe5unMONTV0uBD0NOhzJrC+1bTSmDVprCgQkr0GDCgvNALNkpUDwVdLZDyaDABsD/IiChG2ooT/dUGY1t5oQgkZxyZNoWgsMCQfJ93Uwf1iv5+hup/3+kUjKOWt5MSuryYhqbFxkgmNDEywkzcSm3298NCqr0IrqqOG6dsb0Y+wGLdzpQ5IjG1DdjYEbG8NyuqBKPkwUyrTg/fhNgkgyg31RZ+zdtmTC35fnZ0T0umwq/rl45DZx/3mIRSk2TgHNra6rncb6kEZTNQpF8+omqZgXDBFBoZQG2tkDpCfSD2XFI+zs1AbQ5pM+dJHt5HxYMpDujPwSwKbArd6lmZClIGUefZ7do/g0MmfMTLGIztMdKBDTrAKzO6VdV0ktbwVnP6kEDIOafq4FiDLVbGhmp5dokgGJIlvgnyTgyPzwGhBj3JjOVEHJbRJImuJ8gcA6bbo2R2VUasMZrXD7yftBUHQeUhXl6aJYOenjcZ/9/toJSxO2wNHZsKht4COUSN3vm/vmm+nRt5LCJMJRQlHZYABFLkmvLY4vEvpqNJeKOK9WB0BCgXaeiptFmPHTLWOxRqOpWUZZvOKTZom3xzeyBWbSKqXvpBbopDMAbzsR7xd1hsy66luONVN77mkXgoAKqgqIDnUhip+SwYo5lhKx+G4YVn3QQjeqPcSpMZ61oF41xhcRLIDcA5HcCrEsrxVldCEQEgV2xzUDdFcW55lY194INboGjEQ9ezIa8j1qpcr0E/yrQHlIm+dPuZ92ZiM9GPPtWSNB3h9HiUPyqTr4y9jnQNCTESU7XejY8UNsIvle1IZdwoIdgVajegyOXr6vX0an+AZKlNnK7JutCN9webS8ftgrL6Iy6HAsJztlk9oQL3SIDCSPVfwiSpkoXL/sm7cs+PalLQmMTSMRjUGWJz7bzPuGQCDMyVmoaGTTsOdHZXmNkwItddadZTFZQqo/aU4DRkD4Q2icViPaB2XN6Fn14L2YQfumgxfdY4AWL5yTLpUj+t58u2JPc5AdCcQH6HwoTGTZTrZmvx5hNp+0QjK3J2wP3BSRLtlTh4JpEUG3gQlohmJWK81paLRDNtHtsyVTlfP7SNJWX7sMr3rY4DfKpqEmXx1bE9+e31BRtV70dgJeXjXi6UMc1uVTbzVYadewEn1HNLmfcB+TpKU37c8KOCWjGzX4R8QdH9bsKkkAwNbmPX3MA8DwM+8FBFowY0mapkOlnbu1Ha86Xq14fnzgvJhQw/IuDC4cgfhxW7wA4Q4jcCAC7VhfxplrvB9sK8LIfE3ih85wNJWKLXO4y1CdDnTVCyVbt2YoZrj8p1+bytEXhwU1osSoCTGsRc4KIyE+bF2IC1uG4ADN8T2xMWPVQaLhiSr9mtVFhjlPmbNKXEfiEss+Ph34Vj16yQaqN+33QZCFR4vkVk1S5HA4dsBtn9PQlhYHb6NjigGvkiI2WQWaWeiSA4eer7b8DxqktHvQN8L6qFT0h6A94L9onLTIUwrFRA4g6BjIan2VHesQiwqbtdRBBO7SjxP6xl2aGhTYPFpu8emck0xkmF/uN5h3yvWdSAxIaHf3XD2dZK8H4JuAIOn1fbUQSlwLEsTPwZoe8XhQC8jPzIDjjIgM/8Cb4TDLZKlawHOwTPw1A6J1trgW/mpw99oj1EkctYPjt16rsNyKdjvhJqYc05G1hsIx24sF8JYnZRdR9lBBLEgOQ/lraDsRk6I0Ae7lJR3r+fbxVbeCtojtfWtM2NnmbNgj/bfc0E9F+wf+J6UnadQlwHY7zpLwWP7It/liFzbFJUDk6xuaBgtzz4lI7Ybjv9gwfU7Ilep8LozeCiSlvAp8fGjj2fxbh8sbxzf9tDRF5WDi5DhSDKm4CoSRr+n0WjQDMppT2sKBnU6p6yi3O3wHw6yR3DYOpLGtrJUEwTZ9ryOzquHNkxM3yqakoP22LMsvn3TgYedw/jGhowsRzfuYRlkxj7kNiQjug17hU1NDAD3g0nlnMq2tAzoB4erLdneJEoXCL2MZe06laR+xusXjaBElA4gbbfT90IQozlGpg3wYWjQwgAwsgJr8g2IwW+QuiYhc9sKu0+0qUU9s15HxpSbP8DM8dgSqkvYVpF2Zt5xkBqSGBuZri3ObMKY5YYjJ4AhoT/DmdEylgsHWFTfxlUs8ejoAJCEtK6xNB+kVEHGM9nOmt2UciJqdtXcax0HIgxEAoAkGAMYsGUEKJ1ZuJ/U09/osAqwlsxsTxM8oV4fiELsnbqPEgGQoNTkE0GLWM86MgvK409jCgzUJA7/GN+JVBifEc8hjPwyqxCiAGlQ3MxDZX8/8qWIoDGuvyM1WUb7qDoUdI1pXBjX1VWnj0ApXjFfAsItU8uys63YykALyjoCPtssn0E+S8fIDKeaeZR6HBB5ECnO5j3Is1CAwnr6se4oIscCSC4JgERQAh25q5t8gsb29bIfsLfRetzd8HU7kfMylZQWo0LsbDA4v8q74CiuZSkNtQ5foFlFt8Qzj89ekST39GE5kAxsl8nQNPaZKA2a5/qCsdxXVJoO07ew8igNcsiekBIFuCXQWiD3mRAxM1eQGaVodf4VBTNUc0UmQFw/GO8fYxI0gujMOk9lJXEUymao54FemBDO5LGFeja0rgpyP/IQB9O1U8Ke/56JtfGyDhy+8Bp9fl91BIY9AGQiGOhVPgfT93beR72S62OnNvh54vXkZ84kdO239TTOADs07r2xVoL3oWSiLtRiiWcfeyUW6mVlGdYY7MXUDETWmkxmX4oCroYiU1c87KiaR+U6nTWGG1uYbFyArjlUajv3577oHAyF9oma4Lq+Im0da1oLdTIxnJohyoWB7s24/Z7XLxtBSVVMRcCKt0i85OG2fRQ0pkXiC2iudMfNvz0QUdk/7uPA2Qilbh8jSyw52Pa65EHQZTLXtXF7N9WGGfT4VrLO2Z7UjivSbL9v2Bs0EUrW/QCwXa0bXBl++yD77i8r0RzBwf2+k/l9bMBbpUbKPaH5UNjtLwv6k8vgDcB18DGws305RMH6Q+MhEtF2lHQcQJQPdgM+r/C7TjREB5fLPqBv9abm3r4cFNRx/CLCDxJceWFHVZBpZ/TEjx1+NZTPC+qbYX/A6McPA7Q4Y7aSAc9+52NTiIUSSrhnPaPg25ja7TYDFmQGYW8F7iUzy/0jg0ySBGUrL4PIGy0YQHVqylkXmZ9FKx4WT5NK/qzBe2E74BZZXpN9OmF2VB81aQVn/ah5+rCzPbE4+QbqLuh3zLbtdzQHtEe5I0c7+UYkJL0ymqFtC+r9jn0nibaoddELUK5Ggra6AmwRUfetoBcdwIujyUxwdlyFAe1lSVLe3bqhXys2kIB6OG34uL6hihxbtMCqjSDk3Fecd5ZrHusFdWlYSyPZtRf84cvH273BDb/9+oi+VWzXRcaBBcU6DjpdX/thlHemXK3cBEkjUNp3knD3ncJ0rRf49wfgw57rKLhwgUrYm1DdZ6rfhqGpbSNw6AXDWkHJRl8x0JLdSH0Kd2CA9XwlIF7IT+lCgkOkrezA9tRvkpV+cnhYDQgZs9cK27luwsCwbDaC+Yu6hILPUB3txLb2yLp3Q2bL5a1Qwv/kuC7gYXyp2eVBqf5OqYX7xkuTx1N5rnIxZwAQCWM4I/djx/Jcsa/Isro1Q7vrOP+mjDkXxNkF6G9CMLvBlwY3cmnqc8lyP7k9Divk4/WFSUCP/Sq4FOHNduE6S5FElZ3a53UgypdKkFgu8+ye4/fK3Y7t+QA8tky0+rWyJNsMvlNm3kV8T42a5uQUyp9n/7gLOeXY1rMk67s4aqakDGM+dbUuZ7n3qtb2k5IV2RvsH5RcRrPEoQO79hYA9rLA7xsaKtpjF2G7iDfF/dI0TiisXlir5BD9zNcvG0GJQEyRd7Z2KksoO4ZqpwNRL8y2PTDIIXfDs/aYbYHSHsmkKg7oICTObbPxM9GNASR3w4MsuEzQ49pHW5YC52zzXaZr0c8GujKjGVFCuGlZBgapzcGDOEig0do4dRTNrbcxyUMzBJgQmSC5OTh+xZXpzdfjPyIv5v3GZ8z1x4zcbQQUfQpCRFgtVxuGaZFp9lHjBZARf5Jue9y/5aZg871OMUWiUpHlmI/MbbOsQUfmYJENGkTI0/voWeTYbxP3YI5hpFUT956tf90GUhLPqTqfge47rj9F/rTx5vf6uA/r4hg0GwZmuq+b8ZvnK5Dt6jfz3sU5qWTvxzXNCqlW2CWRLeETLyHvrbOTJjg0qzUsS0+vnJvgYBq0DvrqAMCpbPT00fe7G877gj6NcXdg26jj091uWopXBRzbnA7/xKuis205UZN4zpb/Ltepy0vzNzNHDHSD7caWSzqN2fqUiceajESp2w2f0OJAcQyPqBh7oXOcl+oEA1LUkP/gvElUR8+u7FpzasUVgDYE1jT3EnCKYGS3/DlfhXwYUhY/9tDoxInmhbx+lSTTw0nBWMoUdEPK7i9Q+Qn62Wl+NgyOja5vvr9EcGK9CA2JjsPkl+VAQ1IQGGhvrId8b+0F0bmkf5frdKSqwWAWcMv5ECj24mmuObrtBspQDwwwJxqVump0Fhz6OIcC3dW8SqHOqdMweYK5l0zzNl4x6WaESWXZaJRIDtDCz/fTxOmbz5dpjqZWzf9bSLJwUJyrY5QvGssS/WnH9uioXyiy4yE+tjj2Rxr4+T3hLLtU2MskIe+jxp7aKldJsl8nGLOxldM2RfpxQBWgfFl4PbsiyNj8g+3vxta1o3QOBI15ddhzzc3dXitREnV4oINclKpo9cjDwg8O/3aj2ugylSUa0EJO/1JJBs7gxcTt0Ay6lERnomXZW0lLcRqEddaeQ0BMGjFYexqKJXQMsOx1DmhoLPT6OUTVuHOYzKXKuaA9NfRvtwwGAKDd+22bs2HAkwEdL5512li4SeYybQCq9/cPatVbHesXycpHdhQw+aFj/4atc8tXPYP7MHfTOGrDQzfaFpwrXBb0vG4iKXYmGhP1aURX0mO0uMseQHbpWDrnZASIbuTFtLFbuU3z6qrW8Sjh6BDZv925ecTGFxykx53ZqwTwLOZflGPuWo5bP3W0p0Ye0fNCpCcSy2/ZrllWtt/24PLMpUdxjNbHK2xht4+tEjsz/jsDFLDjJkTXGhhgv7YDLm1BMUrZ19qxeRnaKLXdlHiu+4J13UkuBDkm0aYckvpf2wlXEWub80+1nlooJMwScTmoo+hQdtTacTjuOCwN7dsdi4jyMKDLsgBrR/9mw/6BgpDLC+Ht/bGzTbRjkOAluGVFJFWZVqIB7alT7A9Ce8GgKITNAomZ9xjC+OQhmJPoWc4lBSbDuNSVcLW7jr6qbGO8riaCo10K2sediE7Md33M/rFh/7iPZgXNvX7ybHGPa9k/tjwMbTfUl0oE8mWBXyhVb5thf2rodw31lQ0NJvftmFcAEQG7sEzVV45HNAaE9H2i0Qpajn+iUuNVfIrFsX/TKHf/tSYR2VSu70eVvVRasY3XHI73rkO+H30oW58L+tOee1ouUhH181kZaNoawaZQTWzca9lV6fCnHV0im9Ha609ETNIbqVkaANJ6hRYAYU7orwvXnNBwP7U8o5CO69ov3iql8DXW5YV7Sgsk5fPCkruCIF99cBevhXuazDH5fcriV4kIYu1oH9qPEOc/6/XLDlAMI+OcI+o4NKLdF7iJfpOnEhFhw4imAQRECGAcRB0DpYH+HtFiRplIxCSNkeZnkanJdK2uLGnmOUxoQsrdx/XP2fL0Hu+FyBL5mXgLoWGQP9un7088luRoxDXHKzaodIcemd9capvvNY0Dp+zr9v31J7IcwZXZ9aOsri8c12jhTqLafN0FkmP2KfO5fQY0KJzGcro3u0lT9Fr8VljoXYbsweOI7AfgYS+C2I34Uz6vaZxj3GYR0jlrATKjBnDLWYmFHrXq5L74TdaCaUPgUvHkoOT16DPcTV46nlB1zPsbszAgkR97N3duPl/XZ8VR1H1Wpnny3hjwp14dNrp0nKjLzCvpbtk+3KZ1dFykDqyf7eKdxGde+iJFWSNWMq9BcxSQc1IttFGE7BR2KJUifZ05G53uI+rxY01gcH7yh/QIug1DxZhjQLbrJsqmfSDRAZ+eg77nBknvT89B15ZgZnAbIrBapp8tuOFa/OQpEahDTM1APGIo5g6iINprn56nM4BbtG4eq+larc/v54kUzajijARSVAwDQYr9s02/p5IaEWF95vt77dN7x3gFkd1wE7Ddwl3v3mc+IxzSJ5nOoXkM9DNWPEUUk1OkZ0obkOn39XuziNsQmRSxdzoDg6M5X1+O8/u1GN2EgYza9D5B0p7GK1HVm7HR3hul9p/5+kUHKBbwlkoSyepWC5eb0556cRpnydDP7mguVz8tqF8WZiRBJDKH3/Uc2DSr04EREXNI15uLi3BVtK3JS6VQMffN0zMBId52KbCvS9Zr05Tqyui5nAuWr1XErkGqrc9sSTTxFXAuwMtCktTLQhE0KeKmNkCQd7UAl6eNwmoqf9heaBwoGXQEMfeuEWI8EZGxzYBDx3KSkNSZ2ZgfOpbjDvv2OlqglcVEyadHq6HGbnbO9OpY3jjGZcfo69fYtMeeegH2uA/uSfFszTW1vwUqtnxaYLJYr8rwbKFYUXmtlHE+F+BasH27M6NsJRdWD4SsOvpfumL/bqPI3+9WoJLdH8GaH/i8/NCBI7tSrPhoZX7c2XJ66hRTA/K93UHejToL7DKWpN+Tl+LKTmzlfeIq5OpBKFCjUd36hVnie9JmkFNRXJ1lICKobMerM4uL8uhzzTbhaE0sL+qi0nW4A+WN/CBavGtjc6AcG/qlpipwyulrYwslV1tIWGUQ0OU4fBuwbF6xq0vn5XpA6wUn27CUjmPZsXmFu+E3p2cclhHlHZYdf+XpC9a14fH+ggbK5O9ecCw7uhu+v97jsi3oTuPA1kp+/rHuGZgUONbSsCwNh8LgqPeCWqhZ0faSjtVFKCLOOuEL5d+3j0TjipDMEEXz4uh3RMtwrtSbcBuKsmuHnSvqSyGv5Eq01gJ9dLAEiQiWucb2B8fylShluycC1p4aM/DCVt7UErmyY2gcxMhWUT81QG3PSaZvaoG+hokc+X7rp8rW5ejAa+LYaM2mpspCMcsio9blmbov/cA9tbxV8tnuOvxI6Yj1UxmBEDC8toA0Oy3q9Ck71+X+Ldvj/aHh+pEl9XIdxH40Q/vYKIRXHTgK3QJS78QXRzhMN5m+lg0sS0WAsUhwbeWZksGLggwcG/Bho52B+CTltaA+bmlbUj8LUVGgWJ+JgNhbhX1/yCTDVebvH3aSq6vD/7/k/Vmvbtt2FQi2PsaYxVesYu+zT3krF1hhEzYKEakklCkBKQQS4iUlxAtCgCxASPwCSzzBA6/8AeQHzDtCPIWsJEkpCwRkmsBgwDa+vtW555xdrbW+as45xuj50Isxv30d914jHIojPmnr7LP2t2Y5it5bb721U/R1lDZqkqjvM+wVid4WkJqYgliItpXUZ0jf19ICISRGvc9SSlMxP+5kLKOrss9MKyK1E73hiaYQblnQs0JtLxjX2dgP/3ypAxQA8lAMZSD9uymcsvwBsBLb4lVoLsxuDmjCW/rzK67JOvJdIwGWpawzCct8Ce33VxGu+HHIIgTzhojSm26+HQhQpUY9ly46Ngg9avX2YlxF6HZNAiG3zggzFHP9jdU9VA3OTAsDlVR+Gy0S19SnKiLiSFRglzW3LiVPk2xRWQflrEx857WQIx9sQQ1Du7S4ZeT0znEI7lh8Fa2Xpjnj16jvhawEBb0uo9gYyVlRtWrlHssOVGCqiU6xn8vfi71zRtMkUUTC34/zTdA4KxXuEQKCWx04DwlYvQO0jEsVao0zVfW+vPZsKI96+XhXj70Tc7G18o+d3+xB7GcKORs8LZldg/DtnGQbG2uwbQuucRlIfi9AkbWoLbzU/muf9d9LDTiWHqXSFU8lc1QBN2CXZh/n4ogMbNMsKAexi7LZeRjAYRlQakDm4CTZaNdDvEJ3tFzJJHL8kHdnSBCX4LYRrJkoSL7vgaK2FK/bWp3rZH/WaK1lrEVbhd9Jaj1Zt/XGEhAl27tgox1ntT5QDg1hsXVLv+ddaoaI2PUH9vFsHTzB5ORtDhVZY9zQb422rfgR6zZVuxEmQQWiltDXXC4EycqZ0Lof7f5t3isyY0HaGk0BQUrga8TQPu8gJK5ubZwbWwPsdxWldVK/JhgwgTl7VhZIKQePVU3WkRBerXM2122+2l6l+4jzhqK8E0PYfb3y64RzDd9dLykq7yS24woCtzpeWN2PPo81OsKrMcDcxrmj6ZUcLb8yZbX3ZHvqfyscFLO8FsRAMsB4JoQnNTkqEuVbtw5vVdNE+7FrL9+vY0V9trSAoBCCZtgurpapuWbqC64mdQ+01jaVLwYgIm+Rm2GdTk7udbDsMuh+lhdKilp0VVVdhR3PARKhb8Tgq+6Kcxjodr4OmLRzyNrqcL+IURzg564Do1wi8NS5CBy6Cjx0EvhoVB0ypPZ5ESTCJhAFRtU6pZnQUWSRQT9L1hxUYl8GpYpOGalLr0Vk+HUyFiArm71sajPws0ibod5CrYPJiVqHhPQmqYlYlUzqInVzHqTmWRMcLgUDuFtax4Fyl+JEnk1QDqB9FslxksWoeyOdAOU+t2fO2i0xBRchoksU3RIV1Avn0HhSBOH86BizAMMySQqStXZvFOWJihAFFv8owDexeAxIrxPCWRSI601BuVPE5pgk4FA0JzyJAnHQTMtM2dJj9NZNW5BCZOBmEQsFXWDCKYJvsra766Z8ikJcVE6V8CYYYZcF8WEgdBVR0UoiSAv6JUjLbipIXUFHBZ3qi5hImhv7MWHmhLlEfHHeI9eAMWX0lEHEeFxGaT+uAffdSUwIV8HG8/6EFCtiYCycUGpwtKbUgO8d7lBqwFyimASGpoOSgqA53skDCcwNVZFgpUrLvaJcNIkyaDwF16MJpmsUtWvGVJIJqB2QjgHdo8wR42jZuIwnFRlURKL2Um50r5eKVtLUNcAUTbmv2kkh5/By9BSQHoMnRnWospwtAekk12BocjwGR85cKZUhQmgExDM5L481qaIM8E1u5ojW2QHlijDQvw2tNL6QO+5yV9E9kOtlxLPy+wZ20ry11VpC4Egs4GV95wfOev0VgjbSahPWgIkuMo7dLPWiz8fasC3o1k461uOHx+SJQnyKwH5BPEsnVei1S8Y6YuYgvELVZLHgsR47YAlIZ0XFrNtnFB6Jt1xvKtImCwexqAS/oSGzrPfr8n7YZVcvrxfhtlGQ/SFscwscreyv3BhWJfZwXJkBrhIMQZNkjcUcEGd4yZ1UesD4QjzqOm6BTCdcPORmVfDjfL7UbcYeXTJUXtlMoNC8A6wGueZnFNkU6qiw3xRQjVxoWYxFlFa/jHA1w5CBsrTvOZJBgAkISeSq2YESt4Q0pIM+aMdLoLYhK3oCQGWpWf5dxZ28xU3D4qoaE44IWERukW3VzgWLagNfZ3KADyJHn/Q4ZdAsOa+OuQrgkNjbqrkQmHXRyQAG/EBLrAcjQMsOCtyagDTAsezIEQUNGtxbQjVOaJLFkViJcHoPtKrXNi8KvVZFfbxWv+pwYL0vE8kj5QQYopS33MaCi9qxC15Za946O+MpNrjXMkoNtCQzlMXbBKKs/OXPK5NrULB2OqBrmxu0bdm5BoYarcY7z0poDeztr0LyY0loV4uwTyvd8MwQEupZ1XhdMk5Nth2AbMjKNbFnzxWgQECqCPEHYV0iRheuxdDe/VjnzXHusSxpxQ0RZCNXkazvqGhbsvJMgpBbk5534YhSSUpKaLyRUgIyR29nXhsEmmBcVC4KEfx3XROFABqKCrXpNRtqNzeBSHPy9Z9pZl4GuJqrZ61a0rWxWXrgqjuQ9Rya2FhHUDiHNp47CSSqGqEKN4BcKp+KiGlVdcK2bhT7hHklegm0+bfik7HuHrbmFi39uDKzBQ7Vnotcu3fbMGS9tGqYziEONo8NlYF31XiZRtca7qXcGI3oqs+JFiPr64VYl5Od05CTyMgbwCUQglynIYscWRoGmK4RGE8MGbVHI6lnFVY0/mNoCJYfr8LfCeJK4feidie2r9iHIS3Dtv6FFixeoSWBUecopWzrQK0QGf0i12Oij5yb8quJegJwUz8LJnxtXnNbrFRjar16Hpr1Ga21yErr3nL+4O8DFvlSIygAFPaCR/91q8zhWX7Og/JUVCwNgGS+ZwAkG086Wi2VXZDK6oFm4idBhtYPF4nOrZ4Ig+A0KCCr89sg69ScDpBMX39mPAC3X7dW5yg6KTaB0oNk1C6LrC+cjmklHgfnscSTQpSFZHKdY4vGTWhOyZPhFNsg0oFJmVD3RbQwVMbatVoAqaMXgS3DUJR9Hl1VEBAeAhjCV9iL/Tp63dCsdr4EpCfyBbl7jGrxTjCCrQWTNIrRoEX98RDaRLlb2iS1cgmrPLQFVpmEHzMUhx65Z98sOHGTmA6K1MyhtU0/m10bZt21wPsiHk5Pq24o/bdwii4hTubb1FfnzRi3iDvtetD27XKjTHdT/mVC2EjNWIJU5bfcLYIyedDAwj+xjIp1E+qrGDmqHXxQFK/uxIrduA4AZHEkzbgUTeNt0UWVZTNmkvvYZg/AyIwVrftMjSyZZSz0qiQLtPINEVxO3hCU9aeqoV9lwsNxg2WWLp6eisvlLxyxLAlDyOhi0c4fcr0U46VcuMNSoijVUiO/5iU6gmJtxNa9E6m2EpRemxgHMrpU/D42u0k2BdPVsfr/OYI3BZyqGPWxoBmGsCIC9SYrp6RtypbgmAxBuRHJfGttpwrP8Lmvjl70D4S44oB0B5lbdSObTri0pI0y0L8JPmfCQhJAQJaHOLVSqHUJmQFe1S6VMuqmtxGuimhhyH3LL+rva0madfNbbksDfXT8c5A1nHWjJW0dFjRJEiZUWZeE0AnXRkFkjC+plUQrdB5DLCKqICNOJi7wvYATg28XMRI8yR5QdkXWeg3awmmF2gIucmaBCm+KW32EWeaczScE4dDI+or2+111Pk69kXkUD8GFD92rCXKtdRLFZuEnQdZ8yPkdjUoMOkZwDogmxV81AVYPHzJF7imIGKYmbd56vs/C2TwR+teCYIVTaG3EkEAyzOqVxK1EnE6SZIWNCsl5UlVdR8Xu+cf9fLkRFI3KCKr6p1k56wAnjWiF6IOWxZNEzWGSeqnUTFukywFuYEerenFYZALlXfUNDYCb09WxygZ5EZGtuiFXRKzJBOCEnMoQsmwlaOSvEaYd0wbnGk2wDN06XVggdrK6vyI+1fyAAA1MIANVM3VDcyQDa9+7Qjk0YAFDNijduHiOEmBUuRj2SU8OG6OQbPA5gDNkMunP7b5s0cq7du9Zn7vVck1IzMosXJs+gAUhJnsNJhFhI8lWa19ROck7VmE08QGCcGsY8m4CAF2cuasoQY9l0aVlGaYKGuBCRc7EJ8gCipYlAIow2FCdogcSvAS/BhdZCnDNGiuPhVMQkT1i9+zxRQeQ4GkOLVtcgpw6U0NEPHgWEjWSEny1XmwdPa3LSO9jBQPTWcaLCQOKdkOVsaAZK1cSuHzUcVKkxEWBUaaIUgTVAIkfTtcV6YahqmWTCrAIoRWQq8YuHJFLwH4z4UhCVgVkXlYOOJcetZJoo6yItYEYY1jATDjPHU5lQCnBfx8A7sczPq13WGrEpXaoKpVfVime81HI2qGV01KDGArac9YNjPoCPHaCBxGExK4aHVYK8Xo8SdknnoOb6pEGqdWQuarISJB1ilZlIEd5IVk/a/BggYZZbxgqyAEKwUupJKtYJSeWqZlbplxnFZNjHQtWxivU2qPVc4hUgoEyrUzz0IxH9Xq98w62DsN5DXESM9YyNtM6aC6FgGYVAJlrQT3WwjGi7gqWG830jTjbW/BPDRmu7XjyYOAojiOMFU5SBrWk1wjBdaiCLhlCtWFX/y4bW1Pb2mnX4hyR9TpZSdqBtSnC3J6FOyeJCNSyAEyOyLrZpwVJtlZTQ4SrO9HreRdpemAOvm5VdcUm6HucAjg1FEvMcamtY0VugpOO5QiXtCACygBpGrD1m/V+ldMj62P9fSnJfrkRFCVkcmSH+U0Yyyaw1TPDOShjXQfwVgaad5TERgL0LD+2gSU8FCnv8E4zURU4Mo4J6SQl0w0ZijCtoQGQsdutI0d7/L3sE6Xc5HAwywSuvfJbjP9SSbJwhiALV5tRbX34Nngtmu9kkqeTohLaOQLIudGJxHLY5KYEypCI2LRXlhZ0+R/S7GAoCGOWzWmS2rugDbSCh/W6NBus++KQJW+L2IlbScEMwgjK2dBOIl0kBS2pvhBY1hQuyi2Z1IZgTdbViUwWsNl96hjgTWk1WntXRbqnYM9LAy7T3RGZaTtOux6sAhQj3rmipGeX7T3TrPenC2Q6WzQHr+O7Lgrg6FI6KVxbSMpCtiDbhqDvP54EDeNtcd2JtcAfr94pl+ALTFDtnLBbVNuHEBIrbG6Lv37PFh8NRgMxkANKIQ8ghlDQp4IuKgdFjfne/ZjEfa4B95szxn5xboiJp001githCIt77Cw1yW2T6J3Mc8Kp9iglIJGWeAA8H47gQlhKFFXZei1/74q2+l9aISkW7IRQvTUbqSL1pXUEBjWXC+JGHWZJVECyjpCinWESvRwv1UZuHXUBIg9uc5l1zNQ2NsGyCZYNe6ANXimBuux4C0JCAcqGXXOjbnTd6KsE6r223+oYQICjq+uMGwwl8TZ9KBeRs7IQtfXY+wUSe5IEdU2uu4LyfAEU1fOuSkUe7cPDas6f5DlLgIKWSHWN++d+PbrmrEtZV23DJuPOEKK4NS+Mwv9LR+0SmuU5pqMQ500kjzdFEBtDNex6be205CEpdymwImoB6ahBkXUBqkBb6MuqtExtb1JeB6oiw4Wuy29WCufVnqMBoyeAaz0nGydGENZEplkXwPkqrNUI9zpTzmMdq+sb+T6V255ryL2LV/4Yny83ghJapEoW0ekgM4toEFw6Pp4C6r5qpwF7BG01UGN6h0sALkFKE4V8sZVsnwXliOydP57FHxN4VM+eWV6SIQhcScaBSmGbAJCvy8oUv6rrmxZB0E12iiqbDPAhuYFhKdTaxWyBDUB4TKj7LHLs2ww6JIQsZS3fUDdyPEMNeFEmgA7Uui/ALPBiGApK6QQJ6uXc1gkg5mQBdZH2uVLReBWa0UvdO8HsuMUYrfhgxkJSM+5UpCxL8MYbkfrnnj2aT08qr1yBcIoCle+lla7sqkyCpLL3rBPbAp5zQrwQSgzeTtlIe0HLWSpBvQgU6mWQ9cIzVJWMD66I6d0tqSKkKuqmpFmowquyyAchF+8K6BwdqudeyGS8K1juSRYyM6IDnBNC5ygZc19RezTEREuPDAkysBEbBLCKCULHfFeBoqTNIpkilgjsa+sCWhQ5yVoGZNJ2b5YMzUQHLSYxozFi17JJXUHuKoYhS0dNFl5UrtLWG1fR4LsclKkmXGqHnCPu+jPOS6fTQrpwHpcRAYw8JeGghIq5JExKjhjCgj5Ke/DrZXd17BQq7rsz0pDxdBlwLp2gOqs2Zyv1BGL0ITvCEkiMA1OoKDkgqhM0TwF1EGsDOkfx0plJBBCD6nIMllBBM3pC2bRn6FyULKgsUkXZ6DzL5D4y603F1j1TR71SWdX3TZM0A5jSaU1onLYqpOvas25Cwf18jGdC59C6NmZCOEhmbQinozkaSDEDJnXOg9hikNp8hFl5Z2c1X1VhL3GNF9mHshNE2gIoOkV5NpdmaVFHRQONaKplIAtu6qBt+TpuOa86+EjuudxY2VjJyZOc25SWa1eBk6CGyx3rnJPnLSJxzdqAJinpoasubgloqU/5bmsZfAwV+UYSvjLLek7HJO9arUmqobSzzOXwtkO9yaBO0WsrWWuHDvXVO4dcMkNeK0KsYFLENSox1tZfSNIuiXiQ5xrZ14z4OoGVF2xlTCPtOoeNWJoAGM7/c56flqxpDijbH1/r/suNoKwCseCTlz3o8DYx21wY4qqqPA+P5i3qtGhfI0XjQJBBbIOSXG1NNbNCZdTTRE3O1wInO45Fx1mjyLWA2GqRh3M14OiNQaNkPIogdUCP1FUBtxngyTHDpAM1i6Gc/L9Gzgohhn7lhgxIMGFRr3aCSMuoEAOd7BnZs32/7iq/H0KVY9rAXXF/gqFGGsmbZsg6sreuKddxMSt5O0+AQ7yorRYtmQ6uibCGHgFN4n3lg4KKxh/STM9UGim2585RupUcEgZaBqMZZrDjMPS+5Bikz82NIO0PIJ02a/6oktJI0Rw/p16fiZ7Byl8Bkm13q0zVSl4VElhOQfgHa8E5a5futDTK5Au/i4YZyhS5XXeqGnARQldcpluex2qjDeydOxSrlEOoPTtmQl7iStq+cVCsxOImgZUwxuxibPZvU0445066rEgChgrCUqN3A3VRSkmPy4j1xzgqXVcwLQlT7Vz8zYi59jGNlroKTkmJvR7MAdfvlOGrq+tuENxaw1RPAXhJppFgqQUDxhEIFrw0kqG13QJo2ayOv3db+4PySHzNMyI1yfsP1vpbSdBQDYScd7YyuqQKxIveX5Gy9zpQsbKn8Uecv6Lj2NY+n9+GcBTpLouGHKamQ2JE4jC3a+XEwverAJnrsa5NXnKzbF3RqGYQyI6gu8J1QXvuq/dBiwaY2nlYlZgutAD4mu1moEHnlK7hlOGt1X7+Iig4D5IIcZK5GCZqDs8WqOq1BAt4bc9hXaO4/YzW6LYiMKR7T1vj9N8LNYsXS9RsHTcem64T8dLWRZCiX8brrPBjkPn68Iq3qOPYUNs1GvajPl/uAMUg91WgYUz2+XlpEd5CAjPvq7TX6kaY74qY3m1KK0dUyS7qVroS4puuQVS22UWR0LdMNByitpjVaxjOFpiLIBDIobUlB4jsdScRa3ySLNfPwTIxSE0AvZvmsRN0R8XBvEff4DoLNjQKpq5K299jLxnHnZahVE6b3/bAMYlwD9AG+638P5/FQK4eO8zHXo5nraVGzoTUgpEY2BQsT4PUqy240WvnvkpmpC25HKWuzdpuyztFC6YI7lhkwi+6WUbJwOJBmO7z8yLva6zI7y3yTOYo/BBFI+IhoH8T2+LQt2ebb4tkOxZAJZWH1udPOYBP0r6cn+uzUJl6snfk5Z0iSJa1/UUGnjrUVz3wlIDHDvTYufCVCfiZjkHdVkA7ksJjkiDrrPX+Q9d0CbS8xWd51jzURpCetXyzK7KQFnLiqiyqALK2RBrqtQ5MGUL4ZS0fTiLrjUwiNLfL8k51LFNovBjW+w6jlgaZwCWgZglsaw6Yc5IAI4lz8dAtqEzoKSPR771gXUrCoQwIgXHfndXxWDgqkRjn3OGLozhIRlQkLek85o1MV8rYpAXTlPDd4x1CaPebQhXTQS2ZPebBHY4Lggcp0TqMSBRkN3FB1LJOCkJ0S6m0Z6rk8bqRn5neT/cmunW9tR6bqFiYCd1DdBkAL2XaH028hOwKJ5VT1VJRETSAlI9kcL+VOOrAK+4KnO9gmwhNhLwRXkr3MoHKytWdgLopjtLUjTiZL7dyv/Es4zec5TrDrGsLS6kVTO7Ey9vSkO0Al6FHlW4jTmKkWQYIMdWC8CLcFks8812Rdn8AeExyP92K82WlyyJlI+4U7dXkxrpWysDoP+vQvdUuyW1BVlPXcBHyL6IGJpYMWullCk07K8t7qmOV9uMcXPoehVCeZ9R9aQkRQ+Z/VkPO3GwHapLnTZcojQaFQI8dMFTUJchaRACfRNiNjbNoKAsgx0wixhZNOLOKcaxzFAkiSmfu9ooAUy+imHRICA/Jyb+LCt05+V6T4vQ2tqh3MjkKvaQFwFClLVoJyHVbWtD1Y3y+3AGK1hRFVGeVhRNkIJFmHZ7lal3TUAbLIoydXdEklfWlGs/kCjK1zMUi7NKyaN/gqf0CGefAshq9bl5ltFcmUl7Xh9eb1+f1ljf7uWbsAFp5yJjmxAhdEcKZdZNUSJbEcDIarUeC1TX1ukJQ4qplIwZVXv2Onj7VJlt/nYh6wObokE36IvfUaqn672tLAntGK/SCDKnoaxO50qzQsrm1MeRaL8JLEQaH21jRRdmff6wNfdPv8mosOHzJuKrnerdXoYbKWOazytDYMj19b47e2DO052HPQcciW8YSVvcAqMw+/P+9C0mvMaxFsDwT17HeKQHVeEJoxwyrzEyI46txunqG7Wd6Wj02swQFrBt+t+LSkKIdVl6pGiBkjphrArNwTPoVwTUQY6kBl7kTnoaWYiqLLL59UqioJeK8dE3ITV9AF7K/iksRGKPoT9ZclHV3UfTfhrcZp1Cv5f6Nf+HjDE3UTOe/z3ed4y5ORnDegPMK7NCr8et8CluuFPm0r1l7LjFaW2dt5/ObKNrirJmzIyVrBNpvWL7HRuK0oRz42vDSxrAhSpm8zX+9Ll6tYXp9pt5K5Z1SVUATl+u0E06v1++RoC3Xq7mjQQmtz29DNOrv+9xE64hb8+VsrdCfWbuxUQMMMUBQVMZ4boqiX/FIVnMThVwI0Z+doRa2JrNs9GSofKqrc8LPZXOP1/uX7Y02hlYEfNAabWm/09BsuDIvAC8hXqFLtp7o58q+RI8rVidoxNhVUvvjfL7cHBTjhzDUGlzFuGww6MMJl6DMa1JGtkS4VnfloaLeZZE/nwjxRChzQu0ZeScZYbgE8EIycVOV8xW4LDPN2j4YIBm1Zrl0CaAMlE7MCLs3AfmGW/02E3iXZU5H1R7xAQWJvM9BUIuugqcocsZzRL0TWeNwSGJ5H1myDi1Ltf52bUtlkvYyO34OEtEyUOYgnAkV9OLSy/NbCCWLASEtQTLoZ1pDtGAEkGuZA8ImSwwRGTgkaVuzwZlJWuk4oHw8yb1YW/OueEu09/AHRnlvkZ9rq56hL5iDWI0bUrOV0h2rQWMdK+qGUZUl7wZWJpQ1BaQ3vZATt4KA1E2Vttydtu4uggRAgw1+NoFPCeGhk/r4Nsv7MiRPSzhshmS2GBvCr1mTw6mQYICtQ6ITzk98SK3LYZD/L4MgQ2CAhupiaFbKMT4WF2o29ueE7k1EvqmguxmcA3IlsVnI0mpMqYKDioxtSEz/CkkLMeAEbGZyOWvTOwnawluHAkaUDK0Swl66Z1KfMXQ6LgJ7F49xQ3bbyYXR7GPOw7kGnHMncvSnTnggMeNSOlQWwbXH04jzw4gwFJhvzlIjvrjs5dqJkaignBIeh1GPr1kmGNsg4zjngFeXnQY4AVNNmNVY0PRZzP/H2plTqBjjgtQVDJ2I7FEmROMdWTC7LcAUvGXYDC/TU0SxEk/PKHvZ9MMpigDkUBAek5QRFJmoHbx0LTyNgjrIuOouAM/Kf8nSIpo3mpQU5WJpoFS0e0dQHAjCMhPybREy80ygUxDC6iLobpgI+a4JBiIT0omQbwSlY5JzxZl8/pdNdaPEeSNz3WX2QR5g1J7Rv4wABcz3VWTcT9HLwOgqOAhvwuY+q5CdIS9BuSlhkmfAgdC/jlgAaaVXRIOUF0GzlOwvH9WWoB6iIOpjRYnadkwA3y4AE+LbKIKUPaMMWd7xHDG8DLh8lJVkKyh+vc2uAFtNssBIqqcoRPVTRCkqC8HaBUOQ55lU3TupIeEUXNqi7rOW4GVtS0NBsXXlmFy8rS4B3AfhtWyKiHJaQ4Ny80zzpI6iDWMmuTwwShIOC51i21M18LNuo+W+rdWC7AlvTVAt4aSUmyJ2F7Y+rR2ff8TnS42gXEXKGjE6Q1tr5qwZgHES1loV5gYKJRmx8VJWQagTVVeJuEByq4zXsmg97lVZg3AtvazkUIca1/yTihZ0FWqowDqLWaED9A6/4+p7qwy6LrHdu6IvLlFti+kUm/y9ISz6T3WJvhGSZRfGc7AvGcTtz0D/WMRuZYp19HyVnbUMxZ7TFSE16rvQOrt3CQDCwSnkGh4eMERuDHSd+E7qsih/XTtne+mr56n/5QDXBiHlv4hc+3V54srG3LJo4x2sUTRru1s9S44s7cd2ffrsrsaPPat1NuPjla6emb0a51bpJvID92fXu341is5QYL9Gk6dvX5LW2yavLc+SAhoHRYMS6YCR37XWXRNRe9coUOTrA5YS8TiP4BLc7RiAK8WGd64nECPXgEtJ1zwSLcMwq0MyB0VtqqjPlojj3OuxhcRb6u+NoKyvNyqSFIMER2x8Ks9i0dYl55DA/99KFlfvdn0qgmbset4M5Tes3t/6Oza+rEsjynfJxluhxiux+WDH8ZvTa33353Zten32SAwFeSfO9PM35VY4UuFIyGpcc1wJDuq/eUZu8xTwceqZvXEObT7Y/Cdcodz2PH3NteMS/yAqwTaX9D4NAbfNfX3Iiv/1XVQ1upBDe6+2vuna6Pdh42A1p9nPi9YyvEJ5fY+xeU/yLAQ50+Man9DGiSNduN57WJ+pVhzc1mOFyNta2dY4ND2YFfdR1rrVv2F1X/UHh9UP+/xXD1B+4id+AkT0A3/+1t/6WwCAP/kn/+QP/Nvf/Jt/87/sZKzoyDm0gMRkjheVRO6l/YmDoBG2ERh0Fs3waBJxHe4Zy10VsyqNvMMC1G2RY7PIm5s4DRhet+NBuhToHEWm+hLBY0F9JhE4J8b80YL+kbyt10ydaNLabZG6XjqIMZiJByGToAUBgjyo6ZPbh9uilVYEvAjQKSK+Ts5RoEKSUah5X3wSrkH3JiK86driYINxlEzO2oXrWIU3MgUp+SRdFBcRUyuXJKTMk16rToh41Oi/Z+TnWTQ0lKHPPTdy1o2aXQ0FdAlyTZGFR2N8C9jCSEBfER8S4kNU1KpeSSmbXL4RwPqXIjlNm4J8W9qmEdW8bSsdGN5ZoJyTepPBVbqH1u3ZtA4ULFA1LRSWbIGiZp72c++4AjCpCB/g5DFWJVkowbbeXBt7cQ5Cfu2KBGW+iMh74E2VRbGvKB/NkoWdkrQNb7MgIbZBqnUA3yjPZkUSNI4MK++FUnVtE1icF6oECqnKs98vHrSIUqwgTV0sokFCrf03kPBE1h8hxoqp33Hu8e2390AmbOOMXk1gFhZX409uH/HeiydXxwSAUgMO8yCvjqW1udst+NkXn2OeEs6lw1ST66QMXUZ56vDFqxtFYBIyR5xzd3VdgVgMAkkMDnMN6EMGEdDHgn7IoG1B15VWntMuMFDT9rB5UPZF0IyRERRZpCW0NtcliFjiroC3xRVU2TY9yH/FpE6Q3rKrSI9RkI2tdohpEhYmIZ/mOz1mp8RTC2aSoDo0SfdLte47QHhjatq3Lk2VkV0yoTvIgCgqcW98OB4Y3KElMF1VE8Cq66vcyvSVBdOH2QUjASAdJBGkY0J6EMNErOZe3cha1b3VLpmxoGwquge1hSiQIEGFNVk5cmDZJ8JZ+EA2F6OWZ+gSEJ+C747xbfLnIG33woUTVACYXhTvWnGF5SVI5+QUEA6xbf4B4J7FDFA5M2Urc9wF4CyhsHWhqB2GtXCnqh1Z8j7KYwcckqC91jKu+wtm6XAKXXHhTpCg7qFTTpx1oyoK62as2t3IYxGSbMWVhosTY3XPs05L9MLrNJFUmgVB5ChI9u8VzP6vff6rl3j+5b/8lyilXcGv//qv40//6T+Nv/AX/oL/7K//9b+Ov/N3/o7//3a7/S8+n3iqAA49aYYtQUgAK0nIzat0kLjNeGdqonyVUZgstDDJcRUBGoubCOC4EqKhdv5qm+67KEchbX3FVebuC49yNCyIMha7X5tlFYCXCzxLS6sMjglMFUTkMtFkpnGxfZ+NQEp6DdoS6byCjtui8Q73gKzmSfC6MC8q5V2x+j19Hlg9R273a8EGWY2U0AJJnQgUGAxq12F7kp1ndWzr07eyC4DmBaSZo6vJOhNd4OG6R9vwpT3BN20uSoxbvTvv4tAM5aqraZWp8XocOFdJMpQ1WZXXE9+uYwmNL2ULXYKb+TFBxojt9YZaWUZzxWFp7wSVXO/HjQLtEHrcWvQvod23cYvIEDnjXQGKukhrMjMJodQ2HO2SCYo6vKssax8LQIo9r8QuZQ8AMyeRt48F+2HC6644byWGiiFUnLQlOeiYvesuiLFiqdGPH1DRhQoMBamXoGPh6F1AMrzaQynvkPsirSTv7WehtvFrwaPOEaqa7Srq6r469us639s6xj9oGqnjx1yPqRK4aiZe9N8YLYGyMWmbD8OJtz6V6XrttEDJu48A71hhG/frsVLI25Gv5qJuelUJuSIUF5p/i5sNkozx9TzR4QZdWk3lm3qVa7C10hIMO6f9t0L1o3QuFPsu+bw0uQMwObokz0uv0RDjwIqiQL3RWDy/CqT11tFDRrF1bv2xuaFcLABXVgVXSDLQ1g39Xe6rvDPSvUidss0SY438tBfWxkoZuHEMg7a7J/Yl1H9XOUYurOdsVxmrHKCtyUJvcL4g4PshgGuxUdsfCG2PXN/rj/j8V0dQ3n//fXz00Uf+55/+03+Kn/7pn8af+BN/wr+z3W6vvnN7e/tDjzlNEx4fH6/+AJCXtzGp55adAJopBonmkETIjXJoLW3KmC63Rb7bsfM3UITFTVmz503xDTUsKrfcyUJUx9oiXZbBxJFRb7RbQ+3SLYAKh4jl/dxenMF05oFQCWWs4qHRM3iXRSjNMvYpqOYLgy5R2ux0c7R7pkUdUCEDse6ziEIdpE5r2TdtFCXqROSJ91mykZ693TWORbo4hipBgQVztgEqEa3bLIipIPYVvM3CEB+UsZ0JuFvaQGW0MphtvKbYun4ugyA9LhqnMDUldgE8miLqvgiXRgMiHqsfOz3Is+/eiqhSMd+eOUiApTogYQroHiVQufKdCJD3VyUQrTdZum40YOHJ0ixu0s5V9Es8EFQ0w+933fo8FDUy0xVFWfXWKQOCZISBW+u2BVdZ1VpTRdTuIFjboXXwKIpjizkvQTgqUer2oZPaNFdpRfeFTFEQC77DNrtjcYjCxwAxSpHuJQtWCEBSLhMzMMQMOsnuNcYFIAk2+lBctt46cwDhiFy4Q6miqtunjDhmbMOMpN47U+0w54QxLvhw+4TtftKyEGGIGR9vH0CAy+QDwIfDI3bbCacsCMpSIyIxtt2Mm2cnfPL8wQXdphrRxYLC4vMDCOqzXJJzZpgJmzBj6DKGmEWZOBOGLksrsULlYdAOnwoXDYyTcsQ2VX6mgQkIqJsq3S+66YVDbMGwvUPrxMiyQYj0uAbYvWiDhEXQ5ZpkM5QMFqBFRAetxde4A/Ei+h+cxPojXoD0KBpA4RSau7du3GuX8LAQlh07gi1CbtX/3RS2ERnpUdegKYiJYRQkp3sbxS5CE4YmCCdzqmyrCkwSomokocDlFlyQrKiq+BJEtyrKMWy8Q8vrSMLLs463MAWxHNgIT6NuBNmiRRRi1xw2up2lm4mAfFNakBCAelPkWtb3b9wxa9AApEuSVuuMJR6QBIBMsyUw4u0ia3IAMFZ0r6TTqt4K4mTWBlckfSMojwX1xSLzlVU2oq/onl10gwDcSTuwjleAJtkvwknWo7rXzqBzEGRQtZjIaAEdq0gdS6egBsOuSWYl74DrYOxHfP5AOSjzPONXfuVX8Iu/+IugVUvHP/pH/wgvXrzAz//8z+OXfumXcDqdfuhx/t7f+3u4u7vzP1/72tfkHxQRsclSzVJb0ZBqinuKHMjGrQthL0EAMjVxLc3m3QkUEPKilXI0qJGbC21AGISvhCP/KBzv0b+pxgIqXKOogV6fuCNLmclKNADEAGpRX5zArr/i5lXAKqPXBS/KIF13LZkvTNvgWpbEncCSbuQFDW6KbMw0hVZqMp6MRcWZsDwNqCWKUzIgz8ych5PA/Y5gqbaGObgaWWsdhdMcGrdkii6YR1mu57q0QTJRTMvBmPZT9FbAMrDKNrMjPs5XIhE8K1tuSIijX/CM1zadtRS/B1z6nNZ8JEEhuJVn7Jo9m9B71/+6oiWLIixreSWbVL9ltKs6cs3i51SmeI2YzDKmmK83Eye72TvWc1g3EFc0G3dAylM2dQOjzAFVRdZq0cCb4GJRzIRShHANKGpSgBhY2on7io6aL8/6Uzkgc8CldphKQq4BN8OMOkcUkHf5nGqPXIQou4miLlsQkGtEChWbKNG5kG3FpXgbZnRK6rUSj5kADqngrr9gPnV4Pe8w1/QDWij2LEy4jVm5NKEihSp6L4m9s8c8lzzgZroyybM22KKBA0dgbW1vPCOOkHVCx9raVHCdDTsdzMq7ep6Q4aRQ11EhOV/t2dt37ZwcWWX3NbDZyHdM3ZoWcRl2fxnAvXmk5Ky8PuNd6LpjiqJ+vsAirKZzwTkLK7RZhOPk/8McsNw0rs0aKS++7ssY59R0kNYboiWfPhdtcw1qLUA6xwLkWlf6SKYFRJNabpjYnPmyWXu3PX8t8Tb/svZ3J7XbNWkQhYgmDc86TgI32wldZ4oh8PNKPM+QIeOeGGl+CeBMyOqwbqaW+dL5msqEhoQYty9YcIH2DBTNY19r5PfcrX7Fp5G9R5V2dd0GZIyvlXx/1OcPNED5x//4H+Pt27f4q3/1r/rP/uJf/Iv4lV/5Ffyzf/bP8Eu/9Ev4h//wH+Iv/aW/9EOP80u/9Et4eHjwP9/+9rflH5T06AHKpvqL56rZcZYOHFMJFFEvlr7yUUSsrE5sYj4Yi9cHHZVhcpM1EIRjUhS2S+w15HQyTHK1yUZGvOikVjSGhuLuyPEk2TwZWqKmeqY8SJeIcCGxN18vQHFFegJaUACb7DLRLECpg2Q3tvlhCYgX/X2Vhq63ucH56tJKWsd0+G/RLhCNisMlIL1OqEsAHS2qkvsn5XAYjEwV0naXqtjIWynJoGw9dzyT1iulvikCcvIMJZuhRpKtEvGbrLjxaMIpCJ8D0uVlluIgzRRMFyUyMFYsd4rpGhqi5oAukGdkUYVbYQqvRr6dxWOHeuuztCAEbQJbcGIL7XquFmpS+bZIzUGyLUNCGE0Qqso5sYjOgJS1ZByEsxGbybt/QEDoJJNyYmWV50qxSjBa5DpN9j6oYJOUkyToE+K16r7ofbpbdIUoxKq6aiLRf+hjQQoF3ZgxahcPAOm+0R3SUJALd7jkhGWJ+GD7BL5IWQYAKhNOtcdSpAyzizNSrCKJzwGJKm6TZIf+s1RxEy8YVejtmAd/5IEYm27B++MBdEj49HyLSxYER8pGAYFEAC6mekXWHULWwKtgSAWhk2AFgZG2Gakv8jyDdBPmTXvZYdbuia1wANxV2j6KLHIn3XO2wRnKalLs4pBe2yavwb+VYmzNihNdtRhzUm6eocMWmAeg7ooELyMDO0FP00nGXJikeydeaGVqWD0YkOAltHUHkAQli7VH2VVfn+quOGGfo2jG+NxiNJVjAsKFUJ4v3sVkKKfdB0g3cyuZ6jBfl8eoSGDYDFBbQhN2i2zq1uF5VjRIh7iZ/cWzJJ1RjfHiObhBIy0kaK8lMwzXpbK1G1DEwnhci6xjQRMmC3is5O16Q5ocoZBw0qB700Ra7oOvsV7Gt6RtCeBzknVzCXKNT0m4W1ZxsKSrBEGckoxZ8d3Se1DvOlKOn3VZxYsaUVopXIEBmmRNIDOAlQl/Ja/xoz5/oG3G/+Af/AP82T/7Z/HJJ5/4z/7G3/gb/vdf+IVfwMcff4w/9af+FH77t38bP/3TP/17HmcYBgzD8AM/D0UGK00BYQFKXyVqS7URo4aKGgx6DwisUbCGjGvjIpqiZ96APMgS2wAvm+oD2g2g9FmXUci0+UaCHFJ5ZJN6lmxBNrNwiqiaadPcIlg+S90eqbpUNisZlklb+gDfRE1B1ltMNTMxRjbrYCFVX3Qp8iKtsCJ5zNficFP0hQ8s5Kp6CdJuTQyqQW7DauWlOR/zIiUAk+TnTRF3zVOS421LCy7YonOWxXbdvkBwoShOFbD2QlJp62Q1WZLjqmgVJ7jFgKFVArfrhtyzy/Q7arZmn1dosArwAg8w6r44hHzFajf2v4lAEaTkowGOWJqT/xtVySAoSpBoJZRGjOMWUCzyPK11WJDC2gLyEuBGg4xW3tFrXGfRjpzY/0fWsg975su2GBZy9dr61InktmWemyzti2p9AAgCA+jmoHoX/ZhRdDyOMaNuC4aUMQRpBQ/qEmyOxICgJ6YC+5C3WErA0GfcpAm0ze7Vs9SIL+YbTBfhmIi7cMVUxa04JMY2zmAApzLgMA9q8idE3bkm5EU5LpqfbdKC23SWMiSAY+6Ra8CsXBX75HPy6wiBPVhJoSr3RJRrkaXkxUygpyQidwEqrCbjrQya5c/B5z/Buv9I5tBQHAVl5awkHU9SglZJcp1PdaMEXS3pOZF1EWG2MkqWHi6mS1KdmJ833FCPQI7M4CQEz7yT+ZOeFAmyQJssM4abGtqclmCgoZZZJeTdtb1qUkGQdmGbWwSRg1hEAdlardt4txKQrlGWiKgQmdue9FW9b2SMe6u3JWCWAACCCqhXGScWEU1LBnUdp6r3Yv8NQpz1wDFTCyZsfe5Fbn+5YSeMcs8uTllHFT1UVMLlCaKME15iQ9ozGt/F9qOo1AVTCVfSKmed9/asjVxM0vrr+iumYqvIP52iEmcrysaesbxT13+xKkBfJQ47R7kWXV8MGDCkqpr5o3Ua/T4+f2AIyu/+7u/iV3/1V/HX/tpf+6Hf+2N/7I8BAH7rt37r930OM5OKk5ZurAQByEuzn3VVIP1OIFGLoAFcSc6TSaZb6aGr0vFgk9Eybt34vVyiGwQVanU4jZjDAp9MrG6Z8UJuGtWwWciEVEO3eNZB6aUUCFdBz08mZmRCZLV9lxgNslMinnee2ABXPg5HyIZkkKNl51Y3tY1Xu348jvANjxB32Wu5lhVQYOGvsCr0LgGkKpT+zPS+kOqV+RiggzxAJpg99wAxMzT0qdAquCKHNd3UTAnGJtIk2agGKxaYWmbC8M2ADHVThCRsc7s2z07JZw8pj0CeX9CWanL9FB+vNnxskpKd296N/D+ZzLRBo6uuCLJxU9v4B6lYndW97VjrEqAtLvqcvPVw9bFSEyliEk+Wga2gbS0FukWB3Yov+oS+a6rEQ8wI24wuFDXXs429Gf7Zp2hr8aEMyCVi6DJuugv6UQIHaz1+PW9RFCm0ctGldsjcfgaol09O/rMuFCwl4rj0V23EQ8rYxAXb/YTKhPPSoTB50GTX5uQ/fYeRJDDpNUgiqGibZaOAIg/kKAqp8qu1lRpiYF0eZgxoVhPQ32FFC2wTCosgGdLGquUbXYPiRD5Gq/pFVdW0sDKKISlhEjFK70A0mF7XCtMXEaRHxl0ZlPhqY1j/GyfoRgb3BZLsWgIX3pa2eSvKYNLtbhyoJRkai8wfvRcqMjdMCoIy+eYr4miCmIK47QWmJM5yXFeatdfIUnYi02eKbSPnrXH7IHww5ftU1QKqyjXkUTiMvFHLChdtU6Qk2b5QNEDR+Wtuw4qWO2I6lGZiGvhqoycVfvQ1eBDODEf2teVqbWC9dltPdL31hoFKsm4MpZWiDAkxZMo6DwNa+7mpbXe1SSnYs2UIz8VLXfIuW+MCfM34cT5/YAHKL//yL+ODDz7An/tzf+6Hfu/Xfu3XAAAff/zx7/scJh1de0a+1exSN0VOag8POOzGNhiUSArATZGshRYEYSkH+KAha6clwAhvAFYZqPxvGXVTOUeUG4MyZUExZVswIe8lc6Fjcht73lR1+GSNrLll3ppBQeXp6Ry1W6Y2XoihKlNA2dQG+zFUWIjdZZkWzTp6hVltUdoV7yKAlmvKKcm9Ky/DRdUsomYI70R5NBxZgovHJCWAu6Wxv4/SgsyXCIosYneVtPVNiK+cgywWkGs3GWmagnfw1CV6bVPaw1nEmbbFO4GuEISVVo3YEWiAaguZjSdrjdNMxqXCTY5fv2tuwPJLKlUf5BwuUpQJNFSUOyFEx6OKdZnezBQEGbFOJ93w6SzPxwjevJFn5JoHScmyVdn0qyzJgwZowDysFCyn2GBnQsuQ9R74JO+LVscptyrxnYRA7ZojKubGVuOexVE4qBDUoAFKZcImLujHjG2asQkzui4LSTYWRycqCJfauXPxt8/PcDiMiCpHz0yuT3JeOvzHlx+Al9AE1IjxatnhaRqEKBtERv+z6RZvDxvUSuhIZPIzBynfMHnZqA9Cwu1TxhfHPZ4uA+YcceEOc4moLO3F6MQ8MFHFkAqGsKBT8bYxZaSuYJMW8FCQp4S+z7ImvBP8c0Iz/bP8ROeWd5/0LastW1FNjufg6AUTsNzqejWocKTxjrTMUbdVA20CD+w+KXWoKjlOTqKVBK46MTOozUG1zFiD+HwrpXHb7El5bBxZUJagKMCKz1J72chhIpRZJBVsXePECMfYEsOF2hzQTXF5Vj3oCIYkaOBuMv5GXnfScVVfG5urSUrtvFrLTSHV/NPc7A/wdYSXIGWvvRJILwHpEB1BNU6GoSukaxb3FXxMgtz2IgYZVgmlJR+cA9JjRDzG9owWTZCMu9Gv9gfjtsy6lhYR8UMWUTYAgpSpoF0wNMcClELX6+PbXtYQbvshXSLCKSA8qEQFyXhyDZ0pAA+d73vhMck7nALwVlv0I0ujg6HUQfegVZPAj/r8gQQotVb88i//Mv7KX/krSKlVkX77t38bf/fv/l3863/9r/HNb34T/+Sf/BP85b/8l/HH//gfxx/5I3/k932eNaudDY2wRTfgikkNQBZa0kjQsviuLSD+u7aoa0ZoBDWP/Iw38U4GesVAVy6BBxmrGrOpOwYzuDKSlE4I4sbgdtg/wGumZC1zKzKTDz4leXmmDzSY0iYqa23asoyq99nVJj9dNftXFIHIMmysOBb6TKwtkfU6dCHAEhD70tAAa2/UQIOtRKIcH+N5hFXZzbtiLBMC2oJjmYJu5rR+97/XyA7ssvX2bq++t7aRt04MYAV9w7OSqyxAjRcR7DnD7ycMKh+f4bXxK2TE+EqElv0Vfd9BFzYLLOyZK/JgZRZvR16Px1RdbM2fMfSebcytOTJldT2Q66Gh+H1RJ23BpCUqKys4csekvh+4Kt0kKui7rBwUJZSueCf2qRqAFCY8ziPqLBwTQ0MMzcgl4HjuZZxQE397zBtMS0NLmAlPecAyJS9Deesw27mC/3wMC2JgTDkiFyECz5zEm8eICJHdfTmGiqhlquTokPgBURKELsba1hd7tLr++HhcvbMr8TNqSZSNSU9UdPzWlV5O46e0c6w9e2RDh64baMiioViGuuk4avYd12shm5GpISgMP+eai2L/raaBktr1UVHkQjlZHLjZQlRqmiE6xLxssBqvdm5rBSbdB+z6bd10CwG7L1s37XsW0Ct6aS7c8kOdK0WRQ0UiwkIi1mjvTlFQl7LQ+WClVLZ5aM8Ret02dxQlC/Z+/N/Q9h5ridb1ovFNqO0FDDVRVZRUUSfSZM5J2BX+3rkK4ubdf9ZqrrSAMOn1ERpHE7LPRCVOWyeRoc9RvZdAUDFRtP3S9qof8/MHwkH51V/9VXzrW9/CL/7iL179vO97/Oqv/ir+/t//+zgej/ja176GP//n/zz+9t/+2/9F5xHjNSGohqeEfFfBHLwF2KJ1BlqwwRCLbSNIWRDDcLiKThHhElB2xSNYVCC96lD2Im5DLPA3d9wi0gLESxRBHyV4usiWIRz6EutWNrl4VLlm2zA7BnqVUF+CZwwVMtl4U1HvsxzHZKdtoimZrhIJcqGiPHQJigwEqYknRr4z2WNy8yYu0sJXe1bBJm7iYZcoUN17M5yMGxjEAaSEOQtAsKkimPQ6YalyT93bgOVZAZuc8zH5hGMVlLNtrWitGDeLPLuLmgASI3zRSwaaoZbowDJUEQl71Ql3hQH38ai0gpYB5+dYWStyGws2aTeyydTbLJvNRTODW5Ht5yWI4JPV4IN0cTEJalHusizOi6IWgbHclyuYVezmo5MarSbvOgsAeI5Cmi4kNf3I4FD8XQAARYhI06gwraJDYVh8nlBXW3wTKzgROMriSMTAWAAU4bUAKIcOrt+TKqCIHbYZITHqOSh5ThZsEaOT90PETkaNUdCFFAsSCcE0BuGDpFCu3IkXjjjVHsepd+2SPhZs44RxWLBwxFn9cn7248/x7/LHrVunBvz7Nx9imqX7JoKxlID/+PID1HPCcHuWKcyEu/6MygEvzzs81RG5trJQqYT390c8TQNKJRzKiLzixtj3rJtoCIugKUEDsFixTYvA+kk7mAhIQ0GeogYNEIsGJTHSQgjaSUGVsDwrYoh5Eq7Xcl+AKuTS9KDtwVNA/0A4b4T0TRcRpRQ+BBydoSJaHbVTUbIsnY0MFjI7AekoJM9llnN0byPyTroYqRDSazGlqxtNkKo0B0hnTkQdqqAUgLaeAukhIt+oGWcmpLcJpWopyVqdZ+GyxAuh9oT8LGtJJ0hZytA1zexJkY8wBRekK8qnyRst3Z+DE1uNyB8WEvJ3lWaE5V6bFObgarY0GfrCghYUEWBLp4C8UYE8Dd6Jydu26RibYac2BIhUBYCZwDU4/4UrAV1FvmeXnWDjy9SA5UX28rSRj8MUEDKwfLCo4S0BgwQShoBLGSu6pEUh2VPKRo0qI4t+TyFds2yRlb/QU0Lel5aM6TUEfT9IjHiMKFoBECQ/CL/J0JYzqVRF9XZt5wEaUbrXCsdQEV/9+GHHH0iA8mf+zJ8BX7UnyOdrX/sa/vk//+f/9U6km4q5gl5FqFj9ndEiNwtE1hmlfWeVbTor2jovPBrXY9oLbSKW+nMdyLrwUVIxNNsw7TtBoftKQOXr67aAwwJ5i1ot8I9VyFMs2Qfh+vhUSazhLXFQwqJkKqGpAVpQZB/15rBzVYX6meGGX0E9HkzYiQMjFG0fJGrZhAkdZYU6gVWGJs/HRZS0Ps9KPHUhJ43q2YIHXXTdo8PeZyEgrbINgmSLdmv2vq2U5Q+SW1ZGaO2yii5QWj10Hye6CG2qt9bae2Re/b59d9XJ4B/LJvRd+aH1EWKd6eh4sCyMGFfCaABft33rNTETSIk+FLTEuULa7CJqVqVbOXA7hpGtdViJIBjJvF6P1XXWTVCX3+qtyRaUCOekibPFFfoBCPl1rgm1BrnEoORTRSkWjpiLTLb3h4MKpMkDqkwoOaFW8rIRc5OrD6Gi6oWOURVzscPCsaEj+jubtGDKCROLJkqugqAYodZk700qnxTlMdJv50RgeaYcGCFWRznMyVcCQHvemhhrGdK7bd4ZLyIbT67ESQrkUZH1zyxu/JZWU9zIuYJ2UBuDDEFzM6Hov6+NDcMiKAgZiqnnFaQY4h9j14h2XetxTQWezV+hRrZeE1Ro8Pq6DEURuXlqKPKIxrOrKt2gnBcu8GtfPz9iapYo0GdONp4JiPowCxy5csPFCnCBrLMk749VE8RPY3whFcsD5JxOLPWW5nbf0qYclD9U3BXcLt6QIROPg75fWT/XSxK3+1qjqYq2cCE5hJ032nOl5qtjSExoz52NYyKKcjoghJQL4Iqw6+VKG8erZ9/WHLk+R3N/jM8fGAflf4uPaXhQBeZ7LU90LB00DI04NdOcpA04ZMlADNEIR8lyzRIcWQZVvinSbqx1SppF+IfHAkzBdQEAeKmCexbjwCxBQL1pAlx8iRI5W9lGB4vpdJDL5AfgqfN2YcwB/Hx2Az2aA/DYeTcK7YWgZbLz5UYyhP47Pegc3AAxnCMw1sY7WDkTW+mjfx0FNVGuBmlA4mSypwR+PYCeErzUMRYnrPFe7/cpgbYZy/PiCEF+f2nPmeDCdFY+qLsiZNoAua9FarM8BSlXzPLf/CxLPZ2lNr88FyMqAMi3xWFYFMi7N+iSIHXvxM0lua6egZVotAuIi3BEWFvBeajgcwQWMSFz9ImA8JQE3q6E8NAJ34NXLYe2sKvhF7LcC24XcKoi4V1JEZTV5O7EaIx3InpHGkzRWFrwugRBfKx2HVn+/aETrk4h1HPyQMp0OWiS2nV82YOniHropCQVWc5lz9G4MFpCrSoOSKmKcFtUiwcCuq6Ap4hIFSkV5CViG2dsuwX7NAtRNRb0K61rU4A9lAGPixj6/dyzzzDuZmzS4iWeh7zBcRlQmPDx+IDUFTf2K5Xwk/evQAQNJggpVvzUe68w3F/ATJg5YSoJm7jgprtgzgmfz7c4qAdPoIrChG2acT+eUSrh8/kGp6XHVJM4JFcpCwViDLE4l0Y4KAtSFA2Wvs8YNyLiRpuCYVgQxoxyn1HvsqASObgseR1kcy23xdehvBPUjRZyOw/jAHAEphcVVCVbFk0S2Rg4yDFJN9pyowKQWUXFGF4qjhdCvquYb9l1n+ZnBd2DoCqcGLWXDS09SkdNHSrKVmTW+4egHBRBPsIhSrfQRvVQzlFE4RZS+wZZ9+pQteuRkPfsXSTdY/QdiYO08No6aZYkcZJ5VJVsb35DUk5i33B5FNPBvG8IedlXWSssOJhUwmA95xJLObZjLHu5xrphbbvVzdhIsyRrBz2lZimQBTXnjsWuYyMIWHyTBOF+ipogAqTNBcZzEcpBVcuVijLKc7KkpXEolafUSbenl4oeE5C1W1PL9vExgk5JgtBDEt7jTQbtBLGqZp6aSZ5/lXvPd2LdQGNB/WDSPaMFSazlq3AUFI07RnqMIm5nz8n4PMRXHJh80+b/j/p8qQMUAA0WN0EZ6H/XGa/VBIEmvqMRrx3jKtLTUoBtbE4MAgSWtXqjZj9rFUAQPMhBgPSVK3/CDbLQzmVkLoPC3LYcLcL1ThqVrPeNVbNdyaxXm+06Si7vRLS0+gNcI0t2jXocDiuRIDulBeueBdH1c4+43viBFszYNRoHxUseq+cLeA3bjfQs89BzMLHbDQBowkjrzAxoAmPcfubAnj0DQzlsDOD6GABcZdHGiEl32/eYcL3I2c8NWl3d25Ulud2P3dsKrbu6D+UA+aEZDTotq8DGasvr56XPmHUR43eyyKvrVRTIa/DvZqK66Pnz9LEp7ckxKIzLEiDIIdRMD+IK7ImUHrhwEOfi0uNSBNC9TWd0qSBpcELEOJcOh6UHAdiGGaSE14Ujag246y5IKsRm5Nf7/iRBE5O3IQNAR+I4/HreYVpEEK6yKNeOcXHPn5fTHovK31e+fo+AoCkBLPwT46NoVxFBUCKK0q1ElmHC1hMbT9w4G9ZJUdp7NK6cCbQJAtM0bCyxtXWN1msDA1fib/pzJ8/rOyUbw/qndspfqyRjvbZ/a6iulhDYUIM2h30NsdggciO1rz4cGk+OtBR/pfUiA8W1TxqxuOmTtOfCrg1j53afrNX8v+KjrNcCu8eg4nda/hXOos6hsNKrKa1Tys+hz86PuZ736/UlrFqq6/Xv+8+Ud1gTWvl//fhW66xLZXDj9Vx18dnSa+PNxp4+Xyi6xPZc8upcpM9xhdD6PkbaUaX/5kaUvFrn1nzA9TX8mJ8vdYDCxIingLwv7puDhVxkTTpxFD2APLxyV4ChCLv9Elu3BiDZ/EZM6eI5uOy4d2eoqR4roxkEBK3/xnOT0XdRM4ZkEUeVd95mJcPqDXQS6ccLOR+BCS4GZ/bhtqnUXbkiOKEQ+BS9fGPlKyqE5cMFPFSBbvdV5Jat7tpVN4Kik6IBOUi2ZIS8Xtrd6lk2jToI96YqCsNBo/5LkMURkOOrtDcvinxkkszBOmA6FvnuSmpap/XZrIFmkWfHCvmaXoeZ/hkaUe5UYnoKwsnxBQguv2yQprHijfnuZFAVYgsn4fvwHNuztclvXVIKv6OvYnaoHBxUYf6TEgSrZQ1FECc6i54FdHGjhZwjxeapsV/xgQJckA3r4FQDCLI6uYk5zZJd06b4swMA7LJsjn0VHssU/T7FQ0pq63VT5V33agJZBDXjHBD6onoNwZ8hAkvXjqoL94PwbfiUBDEohLlG3IwTQhDyaSIjkmak0EozkSou3Im2yWWPl+c9AOCD/gnbYcYYMwoIMTA+O9/i89e32A4z7tIJKVacS4enZcScIz4cHnG7vSCSaKIAwMfjI/qUUZjwUDY4zh0WDtjEGcyE//D2AzweNrgU7SDKER8OT9h3E4gYv/nmfVzmDufS41x6UKoerBCxiMwpt2aIGd1KxVYUajMoQBRsib0jrTzP3q7tLfdBN4IIpIMmJrOKQVrOcAwyBweTVsCVECGCkBWtrdcIqRY8hCl4+YOqZOHpGBAmeIBEc8D8fnGUpG5F5K2MwruQtmPhgcwvipeX6siiw6LilbYZ1VG6e6hqWzTgqEsdhchJU/AuN94VEa5U2X7uBBHKN3KuvJMuQSMfBytLdxU8iBGiGPrJumgEzbCQGyt64rlKLEh9zaiv2q0jJTlvTSZIN84uAySIDptuis39sYKfLa0dXVVcLbgB0NzVg3Db4iG2NUo3e7qI3AQH7YjMMtc8QagQdGYhFYsjPXZt9ztmUUQfdY0aZP1hMzI8J0dHTcy07AS96R6DrMe6DtUpCrqdVPKf4MfiQRBgDoxym4V/qV2izt80omyUktYVreBHfP5Ahdr+t/hcR3AyEbhA23p5pZRnCAY3qMoymaiD9xKbfHNCYz7bIEtax7foMQLodCMM8DZBz0aW0IIfwFtVqZAMXOULuKkVAC810Co4P5kTlxzXtE0AOS9yaBFwUBE5hQyrdQMpCkBLcPM2W6hYF7Gqfg8cVf2BoH4fLUK3dGsdcbvRoW6qpiTYzkGoq84cNglrO+4gwUbIQLE6KABj1UPLLGuIEZZlqTaEE5FzI7/BEAzLTpydD89QQFrCU0G9dtFyXF6CCAK6cRo3nxvAa+POR7Frs+BWOTn2Mr3TQRcxmqhpzES+DqoAl6EngpS89B3Kc6wtILHxzBLNCGISUGZIN44999UzqFoWoFU3DlcVm1p3MoTV+9SNDFXmQ4y6KKaqImWEPhRp5S2kHBTp3IngH5C4Xzii1IC30wYP5xFEjCEsiMTa2ROQS8DTImQHk6iPoWIuEbmOWJaIUVt+mQmnImWbMSzoYsXpMuDlssd56q/O3UdpsT/nDpfaaTtyQUcVMQjZ920etcQTfd5UNj6KcE0MHbKuoxAYKVZ1bxbxthiriD7qOyJ71xoselCv6wprh54jZQTEC9zwsyZtBX4n8/ZOksTgSC6QJdokaJ2DwBUq4zLzmmGbiCKTGsXpOCOQc1+Mc1GTzoNIbS2AclmUt2daLNYB5KR63exrz85bs3v3Mn2qoCKJkJRXZF4b8uPy+asAnQlSarWSUUZr5dbx7yi2rsmYg3BR1jwZrJ6xrgdQHpwHHvpvazNASZQIZrhnnaOmZWMkaft//93aOrHcu8a4LUnIvrbGWFJWE/Q+GQiyNtepqcT6x9aidzuKVl1gzISyniZagXBFXSszAY6qNNFS8ntF19ZCe4wA2vj8MT9fagTFVAnDJVwJG4WzEP+sxZMDiymXLgRSK2UnAXFXERZBR4IaHfG2uFxzOkhXTx2rvAxDQfoq2iE3GbhdQAshnYI7GYdLk5KnqvVOAGGWY6ZH8dipN7lNSO3WIBUv4wD0r2LzeyCANrlNIOVnWK0ahcC7LLXpS5DuF9uEknpqqHaBt/0trR6OviLeLB6MhCmIrbiVsQjCtZil48een7UR0xyEA1G1y6gSUBQtsIzmRrLMeAxIb6NzJ4Lqjni5hSELkmZt6cG0Edg1E1jPZYFCuMi9YNDnMosGCVIVkyvjAFmbbwB4U9AdVFCO0QINboz2eDDLAwgq0Wtt+aTvxQz5dFGNh9BaTI3EmqqaJrJrvfRvJaOgwIJ02CZmma9lHMaPmUVmO540+NIshgvJc9cgA7Pwj9Kb1Mo6+6zt7kooVLSHVQwqqNYMT7FpnjBaVxxBeCrWZj4IpwSVELcZ225BvJB359QpaseOtBebZolt8MyEYx1wyQmfPdzg4a24mt+EC7oo7sIXNQZ8fdx66aSjgj4VXEqHz083WM4d9vGCIWXMNeJtluNsw4w+FsxTwjcP7+H8KBwXI+e+Nx7BhXCYBhzKgFoChiDmf10s+Or+LWoNeFhGnHIPzEKWzcpDMS+fTn+HSBCjQIw+ZYxRtFf6WND3GWEo2NxIPT/YxhYl4K0Jwocj4XAIh6FpX3An6Eg6CFJbdtXHm3StyPyv6jllQUCctJNnaOtcI6/KX8oouitrR2Ooey0IKNt2Db7JM7y1tGwki6eFUPuqPAT593QktxkpyuXgJFoq8SLrWfekatS9oAVibCibqKEDgrhUYKjStWnmiAPLONbuE6j/C5LMMbcD0Izfib5X96qI3lN0a4IwFOEzGjlYS1R0FjTB2qdpK+gtFV2DzI6iyrsKJgufWAi4G+nqJA3GhC+k/Brt3AqKjNBYBN1kasGoyT64L5d2pUZ253maCeEpyRph65kFORYc2TVXIGyEMyOCd4Rym1vwxm1/ACAIkmnlKKojRq3VheS4r8281VBwDeIwlCv19h/1+VIjKGaXXXUit9YbCLlygGeuJqIGtgwe3lbsMKsx7AHdHOWllI0sBqToABnSMpHqagSRRgcan2AO2oIXJVPthHSKRduw7BzW2qyDxVtFjfxFECLZWARO1Ow9zAT0cF6KS0wHSIvsyAhnatm4DtS6qY1dTkC1oMOY68cI7kvjLBBUMp5XGQ1Lgu9oD7k/CC2Eyu3eCHpPHQOqfcCzkrECwCO7G7QjT5Gba7MtViSLLBgy4KH3NYWraN2E7hxeJH2vlcCz2gyoJHizVxfo2LMem5CaKdRRS28aOJRTuub62LMndi6UwNe6COoCxAiu3VNH+X7toK2FAd6KboGcZSS2GDFE3twsF4wPomUoLlE7IbTFMkPkzS0Qm23xrU4y9DkQ5D1TaryjauPwkHyD4ClKW7Kev0vFuS2btKAOjH2acE7SquwdLmilnQLVNOGAQ5ESzd3ujGOSgCeqId9cpZOmVsIHdwd8n8mDi1IDvv90g4fHLTBF6fahikPu8Z3TvbS16vm4EN5OG1fatRLNe8MRsRM+ytu8ReqKk3IjMZ73JxAxHqYNJuXHmJrtugPJficY+hOEd9JHIY33QY+ZhDzsHJ/IXmZsi5q02TsSTPB5YGaDsuFraZXhwUDZ1sbdyKpvYUtikY3GjOY4AIHZyzGuSh3aGmbnsetq/AQJUmqnXKLAqIOsl+Ek49N4DLWX0kc86Ua95u5pTlm0DAHAyxa+QVYgmFu8bnK2Flkg56iJBlmmUGstzTysjucEebTrsJKwlYCjcKpQJOC62hNMriEL2sCahJngnNyDNDCUjamxVmDRNc6lIdi1TqCJtgCt+nIqNf4iaVvzLJs/ADdgtGNhDh5o2f4mXm/cVLXtPereFxZBS2ul1olZIVGBruFk97WuRijaZ0i+rLnqkD4HgGRdYdRrVFh/36Xyf4zPlxpBgQqL8VDFM8ReAumibzBYUG6AbbpG2LQOFv04OczepQpy8bZIzU9fRjxKZOpZbG7oiPExaAouQ8zG+SDZXHlbxJ9jVxoiYIZKFixowMCBUe8WBK19ktYkTelRTgoPTqDoC2t3DRkZuMq44U0rJ8Cck6lF5Omwem5GZh3a9YfJshIWJVNbcCwgKWgLbifdHzQWybotcp+UaBxk8UqHZr6FIMRCWgjprCZUmsnVUd6bO6sWtCwBuhipnL0tiL7wVEGN0pNcm4gtkS+M9bZlQp6dKBRqLtNe3jrF5uGRtDxna0XSOvZYYQq2tIh4kavhZum8MVJdOEutmnNQDQ1udVvImKGLGkrOgu55WUh5KqSmjkG71Ujvj8faynvaQUT67u1DOga5q3p+xfBnuZ7uMUgmzFIfX5N4+6i18BKwTTPqWLFL0oFDUYKGFJrBXiBGYdEVWUrEUxkx54SPdk/4yt0D+lQcaTnnTpCNSviJm1d4tj2vAhTC27c7hO+NgnJpUHOZO3z6dCtS/Vp24RLw5rRBTBI4VCYEAj4ZHtAPC5gJr+ctxn7xNuIYKt7vnwAAby4bvD5t5LwQjo19T5CU6xIPaenHApMhZSEOd2IqSEogpr6I6/OqJk9VukZQ4KVrka5nQTJs3F9UPZQVrZhJ1kA9VMgis++yAZmUUyKdddyLZoqsMfD1J8zkwQoVyPzT67J5I6UiUmRC5pdtxPEiyJzx6cpGeHaeuK0SMtYkRwKUNodBEKPSrqJ2wsmxuQxoaTJAVJYHESS09cyyeDMz9G5LggZS1dEQOZjqdWi3pqHQNAm6jb5qEiprIo1i1+GCc1OTXLA5ZWW0ui0I+8VFOlkTrzWHMKiJoyA8ygXr2jpKiszWUThBTVRU9j5iWR/F40zfZ9/M/kSCg67GmJXOw6zvXTtZ61hd+NJIvcE6EY27o4mu7aNhsbVF9tMwrcwDK2lXpY4f/UObpn/0oz5f7gDFBpltqEsAIiTqjfL/6UkMAMNZ24nnIH8nBi4RdEiIh+CELB5WNUjLGLTuWEcZgPlOBlJNgCvHmqOokrqoAmztzsbJUIEjVIgk8SzlE1yiC90YR8XY0rypIo9+SgL56maVb4sGKcKdMPIVnaJkvkpkM85CPAe5Hs0anIgJXF1/7Vg4L0YOXtuxVzTS2EoV1Ute643NeA2s3J63UtjkoYrR2SQ1ZCqEfFuRb4tk9UqarfsitVBuxzVDLntP1qJpHyMX27NkI+nG9u/LfW19/GsF2EVFnXoNLNbHhC6cRlDbFOeXOIfDurZOUdqRoQuoIVWdQtFWyz9oS+DNtcAaGWlYNyd05vlRG6o3BW/1Fs0TOPoj8LA8G0daAHmuvQSa1cjAxqV5UjuDKOfmOairKYNzwPysCDlR/aSCqQOzbL4gQWc2cfEFdIwLuiFfuf8CQK4BCydklqDhPx9f4Phmg0tJuO0vVyq0p6XDd073yEvCbbpg30+IoeJUBzAT7u5OoK8fpb0dgox0qeD55iTLAgQpiWPGz7z3BUKseJhHnKuMxW2ckGLF4Tji1z8Tqw3RRhGk5iZeMHYZpRKWJQF9xaGM7u9TtEVagqO6kt6X+9zEBSlV6QxKGSFI6aeqmWDotFXbMt9VctT4X1LjD5OYCpZt9Ww7qo9O2bCUWV51TXSMW8LFJOtOHVoSF4+hWWD4OqBj6NJIrGvEIZyVB+IgAHnWLMTWKHP6HNUkU+9Fiawc0CB/vT7TOYonKRcYLwZaFuC+CoJspSXlyQQr0c5BZBm0/ElFgrW8ZV8L6Bw9MTDkj5XDY55fXp7QhMLfA8s50kOUspmuHbL265+1/hLQEPLIsm5PwdF+RyuLBir2eyxrN6lsfuM5NoS57GpzLTfepaFHQ23CnfpuihKXra2XTSk7MJDlGZmnnLWBc9IKgdIfyinB7FsAyPpwTAhzAJ2joi7kRqxlK4RmX5cnsQRwQ1Tovf+Yny93gOIteOQLtLf3at0tXiCZv2YGVrsEZJOOJ+GJSG2UGyJALdI3KXaTow87UYt00Rkja+pCYEZ74RLa73kLmExKkxCOZ3JUAgZXWt0zAKRsbZqD1CM1E8JYRJyuwr1YmCSCRWm1QAuywqLXo+RPJ+/qxm8LV+0EJSGC8yH8+RoJjeGlkTUxzaTmr4ho+l4MdSKNut2TosiGT5p12QISNlnJb9SuQRcEMwE0A0g5Kbtqo9XQLYiyDifqhDOEopuBlYaUJyKiSC1bBOAkXLsnqqQS8PrsjXeiC4rwoeQ5+/d0XJCjMPLeKZN034TVM7Pjsvzd2nilFq1Z2BKkU0y/096jLvCJZVHo2/MQ2XxBR8wokVTOP56Dq8I6clb13JVAuyz8JNWQibGqdLeYAVqZtA/Zx0IfCrquCAflSnUM7rkzXTq8uuxAB5Gjv0mTVOpYBNcuS8KbaYuaCds4Y4zC77BOmhf7I7724i2SZmTMhD4W3A2iHLtUlb7vCn5y9wohME65d0XabZiRovjmHN9s/NqMI7MNE4aUUWtAKYSQqnJidMNYZaUmzGYICgMYQkaMYiaYYkUIFX0snliFIGJ/hqi8235pnIHaKT+LJGEwBIEUZamKhHYHDVB7WW/Whn5sxFR9x2Z1YaqlgKAuJtTmx11J2lvZ5IpsHiSwCTO5aaYYEFIj1i7BtUrIyq+sc0LHsHTjtDnmyaehM2Tj0r4D5VWQlLIVCTGSaR0rWDf4MFMLfOwZa1AircSshqpoSandX5X/T6dVKz+wIpqqSOhqybD13xBzso4/e25WLrHg0d6JlrUBXMk9RN2veKjN6Jbb87Fzummp/uGuCuI+tLKQe8oVLX1ptxJbkhmghoa6F6m/k10XquxX9s699K/JIPdSzbB12Q17VwHKD5B3f8jnSx2ghEngL1MetQERj8JLINZIusLb1KynHkGguDgpFKrQorfArjtAAICB9LoTJGWOoFd9UzM1bsJeW1/PUUSVeoHZJLJf1TOt3hcZy3NFFLJCbYC3i9FCYK3/c5L2TpNaxhRFxMfUF3XwlZvikXV6k0Cz2LAvt3ruOQjkmjSz0MXBMhZr8fVuJcDrpBaImaW7B2AsWTszRNTIUJZONjXuqqBORdCUvJP/d6SrSNZOSxBkYQ6oh04gxCIbJQ9i5McKUYeHBJdiX0GwVgKyckrVuny4BEE2tB5bb4UfQBd53/3r6AqdTGgkWqBlObrg8aJZrwaUHFm4MJpB8j67LxOWoJYM8nxQpPyU7/V+TqllV1Ft1/UiwjGuOrhakMjbIoaTVs7RMicTkG/EiDK+6YSIqwEyZzEOk4kjx+Mi9fZ8W3Sj1Hsbi0v8A5C6uZbeANnwh+0CsCAl4dmM7ftHQVAI6IKIl82zcEPWH2bCU1XSKTGOSw8ExofbR2/RvXCPKSecLgMeLyMoMAYl20454bvTPc7nHl0o+Hj7iHEz4yFvcVx6dLHgk80DmAlv8hZvtTTzQf+Im+0FhQO+uOxdCXbsMobdjK999RWO5x5vli0elhFLiS4s9+HNEz569oS6RHzz9B4ucwdmwoV7l8q3T08ZS44YU8YQ5H42ccG2W9DFgl03g/qKYVzQdarzEhnBDKCT8DgAhfW1rbMqYTMeVGZ8X5BvhLRv5Yr5mXKLMiHOumcGuGZQmAKg5MmiHCkr5VARscsyilOx8ymKINLRHIm1hOo+aEG7jgjgnrHcipCbaYZYEGKCafG8ahxQzpihtLJWsbozt/lnAUPUpC7M1rEoa2Tt2hylCgnMLMbYFZSb4gGQNxtURSTOWhZluGCedyFqpx9lwvR+aXNH35M99zowzKGYJpGvkH+Ay9nLL2ngkYObCSIAvC0IszQ01E1tTsoQVKUMrVRV9iJoea1VIiiLSd/b2hcuAbwExNepdTuaRAHBS9NSuo0eaDhv7piUW6gSFyx7G3fS8Rk0oLNAxkrwLs+hwY93h1002Jmu58wP+3ypA5R3o1kmmQzr1t7ayQswkzgz4rJM3dEBjTqD+cnYZ5WhhllRhCJeEvZzZyh3baK5tLVuBp5l23Ur3MedtvSyZCJ2TqvZCY8EV5wEaz1zdUPLDAgtQibWjIicAOnSxNZWpoS3q/uwPxaJQ6+/rhI8ViQh4/p3rc1RESzjNlipwu6dO1ZtkFWmwJq9KSrkhD1AWlOdX8Ot40efC/n12sK3GhuWxWkm5IuOBbVVrtv5P/YsLSCzWzR41u6T0bIigi96TGiQvSVM684cK32pyq23yK/q0v48NJO9+rAc//rdQ9tKW3AbFjhKdWVUts4iq/7uIJASGcfGuFn2vu2ZGZpDjE4di1OoGMYZt9sLhiBBX6KCFOSYRngVgz4piZzKgHPu/H1xZNymSX4HwFTFRbgUIVyzHQfCX3m7bFFyQAoVt510/BzKgFnJq/s4oer3piVJdw2J43BlaSs2o8EuVPRdxif7B9QacMwDLqVDWV37/XDG/XgGKvC4jCgluEhcXiEuABBQpdQUxBwRkIAthoouSrknRGk9DroWBeJGEQjcZO4VJQGhSc9bdq+b/1p5uK4QU+cj6HGMKBtm6epp7a2roWVwv/FEuI0vaX1lRRjh66dfG6EJma1KGR4omLHleh3Rdy9cCvm3taikG4Su/pDVrOx5VcA78/wlrI6Rais9a4Bvc4qjmRSikeD5+hrsms3l3B/qaq1YC3m66aatR+88Yy+xrxAU6+hhRT5pbcpnPDYrO8dVUmrEfKZmJEmKRtlYKdSMYak9g3XeICJ67X3K/vJOgrZCkk0U7+oZrdctS9ztWHoMr0T8t4KgVKvxM+SB9iKZjgBBI3QDc1VAhTSLRvNlXzDfVZy+LgIz/Wt56uLKK5uoCYaFKSDvtT4ZGMuzLOz0o4gKIUkUmR4j4kSIb4UjUO6zE76QqrQxBygPQ+Shl7vSShUqYhQvWrfdqvkcCRGSU/WOIM9yziJnvCbr0lAxf5hRt6VJ/xNawDCoZTqTSMSbEJoFB0wIj6kJ32nnj0fqwNUGL0ROaTsmNZOza0tvk/yb1cCdtEptk9dJWLbVsxYqhPxiEaEgPQafo5hi7dsk5qItwkEmeB1ZBJsUauVNQbldEUsiI7zqgEvwFsXlrmK5rZ5BpUdBW+ioQmt3iz8fEBBfd157poWQFLWrO1USPanc/SZri7U+T2KU50vrrOmqHGesrZZdJXCug3KI5iDBTkTjIWVCvc0akMh45RstsdyIxLcEXdwUNRX6JyvTAc3xuAJ1iaC+iEhbZLEx6KoGMMC4mQEA85xk882EXZqxG2eMKeMmXtBvF+zjhI4qdltpqa1MWDjiwgmHqcdvn17g258/x3JJ+B/e+y665xfpfoFom3w63+HxOGK3mfHfv/g+eBIjwQrCaerx7998iKrI0ibMiIHxa2+/ijcPO5QasA0zKhP+1fe/hvPDiJSk1DSkLKqvxCg14KRclA9uDvjG9jW6ruA/P72H7z7eYikRM8s57roz3huOAIBPn26xzAlLiXiTdzguvZasopSYqKBqqWkMQsDtQ8YmLWJ+mGaEULHpBVEhAnbbCXUnxqc0Fl+fgtpCWHBhZYo6VO9yA5OXaeJJJOrTMQi/QJFiK1OYHkoZWxBRB+n4qz0LX89aVY1LfxF00RRSrXtHykqy/nKncv1zQPcQBQmx46xKPXVThC/TaweJku+tvb92UFRFg5lZCOvWHpzv5KLKTWkdTYqoAPDgqmyqlyl4CSpQ2QKQeNJuTDVXBSuHwtbUIHPJuE1gWZfjKSC8TSKupvsP76Wdls6xcfZiI9umg/I0dE1GryWXKjL03ImFBkdIIBWF92WNHPVGREiN6wFbF2y/CAAZegGAjrGRnTOc42fHhhKkvUOLGNgU168JKtsPtKAsnKKgH6tnyJGRb+Tdhack1gdfRNcCW4thutikkZBXAeSP+nypA5Qf+BAa5M64yi7onYgeAEzd0wmCqyjaf4fawsCd1kyNdxF4lVmzZ+2MVZYBoMkZt556J8RZdHp1LA3A11m7ZTNWf9Tj+3Hq6r8WWa8ie38+awJmaN/z1sfV968j/9ZG50HfuhZdoRtsa13kdRS+euZX6Mzq+Zg8v2clGmA6P6SimdYZomSIxOo9u1MxVucx12rPOuAMeFn0tR5vz3v9LLQL5uqzrgPrZZiwEpfQMjarW68yKZuwrU3bggTy77I979X1+DO3Y5sJHct9O5chNPLb1fvUd0K/B0Lk3BdAVGtZg5dosBCafH0QITIEoA+iGWI6JykVDQKEc2GfhSOWKrLyj/MGZRae03v9AcOQr7pzPptusUwJKVbcd2cphdaoKIy2GhNcCr+ytB2zokDWYWMcEdb/2u92itScyoCqPJptkMBhKSKdzxpUASKN3wdVEFUjxKUGPOQNlhLl3tT1WJ6zoEjGR+lI3JxjqBjUTLALIgYHqNJsx+JcrpusZ/HvzhXAxyxVcuTXs/IK8ZKJWtpZZc5XY7VCSrerDNf/q0PbSwAFzahwjbra9b27ZqzmhSOZOtfcMBFwhEaQE/gco3d/3+aA8kX8eysUwi/HRctwFey3C7y+3qukzf7fElSbd87D0Q4nu31bP21tMD6HHU/XLEOrTJjPz+mIL7UkzdZoWp0D7Z6Mm+iijAs1Ur+OgYbGQc677hQLq/Fg37P7Ba7H2zucqPa87Ne4cXv0UTgnj/EDa7Mf/92f/ZDPlzpAcTgtSqRmXRBlp0IxQ221OCPwMKSt02DMrK2TgbF8tAiHQ6Eoq8GbQyUnaZeLh+giZOX5ItLIWbLafFeQbzULSoz4ECXbDiyW4Tqw6qjtd88WRxHqtoIG4SvkW2lFxhIQHpMQL6tYmYeTdOWAWPgNo+18GkRpFE5PgqrwLju3JFwEtcFCwtNRo0HrJuBBZfEhdW/01VumaatS0mpoVbaKiOjzkvLMavCdI6gC+T67sZXLHWv3EeXQuDfvzTKA+wrcC8eBTsmltS3opKcki/lZkCGaglsPsAUTUwRnkvbbYxSehr3zxCjPxdLAbNJ5l6XFb5ASSb4tLsQXHpOMhSrP7EocqUgrb35/Qeh07Dx08k6y8JWMWCz1dRmLlKoHzbwvEhCoKB6YZOyOmqFai7xxmAiNk9TZcXTBUp4PxoL5g+ymfgDkvCcVo1qoteID7pXEcxRT6lMSR+G+yHtLFdthBkXG/f6E55sT4u2M97ojtt2CXZqxDTPGfsFA0r2TS8TMERWEYx7wJm9xuXT43uEWRMD+/oQX6YDbzQWAlnZywv/nu98AXg4YUsZ73RE3z4+YasLjPCLFgv/p/W9iuL9g303+O5/sHrDdXdCHgoUjUqj4w+9/huFmwukw4KmOOM49tmnGx5tHVAZ+9/Icx1kIs2NYEAJj30/YDTMqAy+XG5QakELBJgox/o++/x3c3R7xcNzgNx4/wtvzKEaGecBSIgrEjXnfTSool7GPE8a0YNfNuE1nKTmlRdqPK2HXz4hDQbdd0PUyDmlbUDdFye22uQPVKEkdS4lV14R0CFDKS+NGPFtal5j9TpESQPcY0D2KqJm0hOqY109VJHO5q47GhAJ0D0GbDdQo8CI8tngRpDVvJEMPMzlXwkvuRswdBOXs3grnrPaMRa0ruFPzTMj9WqlbiLLs5Yc4EdKjICPVdKoWQRUBzf5VAsLL0yzPYHlWhAcRpYup7KoS57XcNBPosRNeGaCmr4JcidGhJQKQLhXAZQNMjqHeZRHO6xnYaAn1KIg0VGqibqorA3PHiGv1c/uzhFXAJfwkTizzPhP6z5OiJSSdmgHI9wW1F4TDHbLP0nXjEgJBEC3kIHy+AEGAhyrPSgNNKvJMaZdbUNPLuYOaNkrXqvB0eJtbq/ocEB9UKFKDZ+4Y6fLfSIDi+hNW12I0GXeCtsDqxmR+IpZh2zGMxLPuojA0xAZ1MKTCfl/PzVCXRg0fLdJWDoZzDixqta+uanSsRErXHLHo+R30g63+a8ePq3vX67YuITOp8+jWjknr6F5+jyeF5YryKmwRANzIUPxXmj6KkT3t2FRXbYSena2e5xod0EDLfpctcFh/H2hRfEW75rA6ngYrjTtjf2f/PVTy58YltMwsrMoedq71omD3oMf28WLnePfvQYNCQ7beRVtWWYdcmwbAvhCgvf+wugd7d0bYzavj672ubQve9R6y43jmpoiWjzEvkYWmNkvcvs9AjLLIURAHX86iojpG6VDpQlG+haAmXazO3TDV2LlEHHMv3JEliuJsb6hLBgHuGMxM2A4L6qZiSBmRRLvk08sdnuYBgYDbdEGMFZfS4TEPmKaEm3TBkIqUgUoPIhFa63sJAr4/3eHhKITZIWbnm5wuAw7zIC7IJWDfTdh0Upr53nSHqTTkBgTs4oQ+FdQqP1uWhMe8wSl3mIq0KDOgMvgVgSBaMPZHEZgUxBqAtMsnBNmczPDQROUQoFYYOheMt7Sab+8iZZyUdKtrnnGRpGPken5R1c4cR2jhAYWRU9cGhVeCX9yOZRwZNyldowCra3P+wxqdNeRUianWLeNGpzYfzPIC8nO7H7I5UmXzX3co2hyuxtkC2jhPrN1Qer++Psh3nOuhJWeYKCOvjr8+j6LI9n5srzA34rX4oncjacBI5doO5GotWz9re94M5/vYsxbJe703wvVar/sQF90HbY6vP1Z2DvIsTAEYefX7xBJoGuLv710ukPSeZU1b7a92K4F/ABD8YZ8vdYDibUsWyWvAYPXWcIzgrQiixaMYMCEyWOWFwfBOm3CMEjFXeE+3P1RlopsgT90UbesK6N5EmTiRXRwNkEETj4KYlH2RDUxl2eMxtJa6U0R6UFEgi8grpF6pH+tf5666uFm5EZnyoPbsEoTJAKNjbFwUVt2ByI4QVL12ZEL3KiFqvdQDGTW3w0YyDe4r0qsO4Uk6bJADwikiaCcPac3TVB2DZufrQMq0BdKb5NE1zSRS7dsiteZLlAykkJhZkS4M6jljioaCToiOA6xeGyBBmZFWbcGy5673C4aID9lHA8nwlITRfwpAp8qXFjjeLV4GvDK70uOTtp+bGBxvFfFYlRSpL21RriStvoWU0S/8He7ZOVQWZFAm5fAExEfVJOhqa/k+r9hqRvguhO51UrQmtOdiLer6TFmtIOgcpQMpMcKo2V4nLbBDlxF2C2JX8Xw8gg4isLbvJvR9xj5e1AG4YKQFY8qu4Nqlggt3OOUe3zve4bceX4Afe/zhZ9/Hi2dPrfwRKt4uG++u+ZOf/CZefPUt7nppF65M+Leff4zPXt8ixYLn6YgYKz4/3eDbh2dY3o74yvAWt+MFS4n4zuUeAPBh/4h7RWf+9auvY/7OTgXUMi5zhy/Oe0yfb/G9V3c4lAHTucNXt2/x/nhArgH/6rOv4XAZcMwDMkcQMe7SGbe9cGvGuGA6dfitpxf49HiLw2XAhXtpS2Zy76FtmDGEjDEtuIniurxVMbs0ZNwNZ6ROSLOjko+7XiTRaweE92bJnhfhSoSLShOoHH25FU6GlSLKyIgX4cHFJ0FXEKAlCBmTHJTzMQs6QSwclnBRUb6lyepX1Qopo/C0vOwNOabw86S7xHgplFsw4+VYEl5NUPuImgTp4FE6LONZ5fo30hocZxF9s7ZdsQaRjbJs1AgvinBmeooIC9C/jMIH8/KRbt7bFaLCgvbQWABS4c0ozwIE15UyyQYASE9NNl+Iy6uN1+ZxFnQ6nJsRLes8Mtl8F6TTjhaxPQnScXfo5Lu2Pvmao6U1DVZpkfPRNitvTgO2fW4B5KpEZes/jxWYdM22YEhb1K2y4PIEVZC7/q1yZZbgkgjxKcp+pAruYQrOQQIgPDzVZKq32ZNFBDlfHX/8EOXLHaBYBKj1O/u7ucZSQyydtNUy1aaeKu1zDNfD8GwSnqHYMY1wawhFUYEbmqKKbcGPz+ssVclaCIwy1qtJa9Bm45KQ+6O4tgsgrczW0sYkZYzIzetAr98Dq35Vz15tjkLm0jJO1HswRGYOzZTPuB7vRtqAtyZay6Cbfenz9Eje2tv8PvV4iZss/RKaGzXQXHM7abtbe/N4jfNdnokjCxp42rHs3wHvxa/LquV2naFZNmpt4EZQVWl+zMGRMxN7AyD/Doi9wvp8lknpdXk2aGNoNfs4sC9CvujZNel3zWjQZKatrn/FYdFSZN60+QAmabFO6sJt39Xat5cAdOxQ0KBLOR1cAvIUMUbx7OijlDz6lDFSRh8FQTHuh3Xr5BLwVDa4KLrALGXWm3TBmDK6WJWbEvDZ6RafncTN+C6dEUNF5ohT6TEvCc+2ZwzDciX6tlRBZ5CajP5UIk5Z2n8jVUc+tt0MDsCldJirdPa8Nx7dJftb5+eISXk0oSAS48X2hJwjPrvc4PW8BTMh6MuNseJZf0YaMi65w9N5xHTpcCijX18BOf8lECOp8/G7SrNjXBBjRUoVfRIX6r7P4tHTseilJPY5ZkquvgFdgnf7GNpSTCiL9PdWvKf2d7RkwTtZ4BLxVx/L/jWZXqsJk3YLpjO1kkwvpZJgAof2CSqQptdqx1hrspC2BDPQ1lUICuLK0QGOoFpjDyedL4CrVfv6yTpParsXXiUb3oG0WktEqReSuBoKYhwQR2PQ9h7l0vh9kQZIs5RUW+u2dmeq5EHZKAm2oLmt63NxFDS1+WzvjCcV+Bzbc/RW6lWLtj+D0vg4fq+lqeiajYu/8gQRaEz6PZUbYLt/fVaNKydIu3nIsY4x58zo+1xzQ3/U58sdoNiNduziROgkMo7nIKZV9q5H1SWxdtLArl5o0SA6UUWkqWW/bMhDVyWiDpC2MB1kVVnc6Sm0/nTbfFalIbcU71iY39p9IVAZI2yzZ+CUm9SytdsCkKxpl0VwK5OYW/Wa7Qc5p/XcE0MWX5Nq1nITzUHQGV2Y66bqMYW8J11JoZUJTIBuPeAAb9frHsiPQ2MTE/NFcKVRA4IovBJc1tl1axIjardIVBSDNkWMC3XR82fLikjYhl+Fa4KA5v461NXC0SYlJQafk6AGHujAgxru5d3yRsfDSTkyOSAdon832NhhzYYg3CTPrIhdj0D8bUjJ0FAyZBXOir2sqBmbdThZIB1loeTEgswECYZpmxv/iiBdN0WyLxoqcD+3UlYh6a4YCuhubi3PhqyY7P0ShESbKmISbZSo5T06JNx0F9CmOJdi02Vsw4Q+ZAxBSKGVCUVbcOec8DLv8TT1mJYk7bf7GS+6J9z0E8aUceEOlyXhuw93+PzVLQDgWTq6W/GrZYfp3OG/u/8c7+1PUgnQjX/OCXNOiBs5d6kBl7nDw7xBzhGFA3KVjqSPN4/gruJpHnAuHYgYf/jmU4y3gob8x9cfoB+yiKsRY+gy/ofn30FeIr719h7fO9wBldCFjMwBfSr4ye1L3O0veJp6HN9usBw7fLbIPVQOWGpCZbjSbBcKtkE6ofqQsU0zwITbNKGLBUO3YN/NCF3FzTghbTPqUBHVOLRui0utG98EALpHQSQ4wLvb5L8yNvKutk0kyMZjDQFUmg6UiLmJfH2cyOe8wf1uNkety8ek1GkhdI8EFAkwyr4inckTGJmAcu540Y18U7UsEpzTRlVEDE2KIR6C62Zwz+gfyC6qBfNGTu1ExA4k97SWK/B1lOHouQV23uWp3S0oBOoV2WGS7ibI9RhyRQt5ZwypIrWY18p66vtTIVlDzrEJZ04SuIVZzA7zXXbTwGCqt7ZuKWdx7cETFjkmnWQdcJSC5fnHU3CUJ0zU9i0zWA3cEpwsSQptM3hTkB5XyWlfMT8vgrAV1ekyiQMVhTNBUBNIDafotiZOfA7sqFB8CtfJ44/4fLkDlByukAGTjccxoQyMvFXVzEWJof57MgjNETScqdmYD6KeSDO1Nj8VESt7LTUoYlG31TfPvK+Noa6bd1WnWW9xTvAM38TbhHyl/AXGlb4B93WlgKj/NYSgryg7SXuqZh5uWMUqCmdlqqxqhhcph/CiBNqq6o85iGAYt2fp3UD2M1JdlXe6cuqgC40KtRmXp2mOsEwKQ1PMUThIaYHmhlYwQ6FRDRJyENMuuwTjYCRujs/WTRW5lXGCZAJ0im0Tt84uJXy6mJwuVkaytWtDIX1e7PL+ZawuPle31Y8JyHvxTgcTQlIpeS/nQOHWJaAeO9Rj19Aw0hqyomyuLKxt5R64qAw1G/M/CA+lWsnwsbvmpegiV0ZpuWQdr/EpCqnunPwZ0Vg8wBvHBZgD9sOEsJV25n2clNzLGIIIp0Wq6FZdM4UJhzLgXHpcLh3+Xy9/Cg+PO9yOEz7aPSLE6uJtj5cB/+n0EV6/vMH99oz3nh38XV+WhO+8vcd/fPshQqq4707YdjNyDfit04c4Po7Y9TM+3D8hpoLP51s8XgaM/YKv7t4CEFRkWhK6PuPD4RHd8wsO04DffngBInVF7jJSJ/L4l0uH18sOD/OIUgPu4hnjZha5eyaEruLNssOb0wYpVgxhQYoFX7l9xO3zI6ir+Fevvo5liTjlDg9lgzknRZRkqQ1UUYr8v+m+bOKMocsYu4xdNyHGim23IMQKjKLTQpqZGv8o7xQlrjJuqllSKBFRh6R8VsJltAjBtDtYRw4ashkav8WSMxnDivBZeaKSAAdnQT5N2G1+pll4kYClDGpyZ8FMkdJK6eG6RH6+Jbgbcxnl92rfUCNDHZYbTVCUy+YWIQZeKtKUd1XFMTX46BQ11zWXFiWVKhGXnAcISXT02RjXBQQpAc/qMxOhZR2RfrdzG5fGOwmJ2xqi62HdVuR9kYDMkVIhm9a+KqePGlJf4FYtVt6y4JIv0Yn+dA669rPfdx1VVqPCpfytfZjWiIoiynnHdjktwSRBd6qV3xPL/Ru/U5MvbyefmlS+E/gnXetHbsDCj/H5UgcoLmTFAFhsu8M5qM+EKvJlCQS6JxvB1DJUjXTjpBu1dUpERpxb9C8GbATeqs6EkcfUFRcMiZoDWleLcSeG4l41a4IZLW3Tci0LDTIsKyZFFFwiH2g1TGX6tza2VURvm7hJH1cJuKLpkyzyPKiQE7QEOtVNzgIhwgoCtWtGuxYolDyUJny2hhaLaW5o9pKqaJNoWSIeQ+OuBEEZwpkEXVHim3lfwEoglVy7Q4IUdgjRpK5Fh0DkqSnrNSRVlD1LtxKZI68SCWksrfSiJbF41lKKZS+9BkVdldq4OQIDQloLcGdZAK3ubKrEkOwJRXhI4RL8XDIQ9Z1p4EGpSnam14+qi6MhYrpwImvgQYzuiZqeCuDPo26K+/2gygYVJnK9BgRGGrLfz7ZfQAvh2XDCuJlBo5R1YhSi5zbOIj6mXjvByzsSoBxzj3JJ+J3vv0B56PB8POKTzQPSiv9zuvT45uE50hc9Pto94ifuXusxAuaccHy9wadvbhFjxV06Y99NWErAd073wFOHfT/hK9u3SKngi/kGp0uPbbfg6xs5zqfnW8w5YjPM+KB/xEfPnnCeO3z+sHf+y6Zf0KWC98Yjyinh7bzBcRlQKuEmXrAfJ2y7BZUJMRU85g2O58HvfYgFP7F7hW88e4OQGN/6/DlKjriUDk95xLJEFXQzXkpFVqn8IQgHYh8nDLFgTBn7bkJKBbs0I8aKOGbhAU3a+aUBSt1nVUeV4MS8T0TLQ5+xLXk6pll5LGEBuiNcop0hJXAjVFpeUhOaAmlAEwbUpClO8OCGE2O5L24vYV4+ZaV0S4Wcg0C6JlngEaaAMJGXdblfbexeetfArJrJnmyMGKuXcaoq0/K2yAbe16YBovPTOGrxAp9/pJ0w/smhZf5a7o+ngGAS77EFTVG7EK2Dxxsj9JysLeSWgNKoHZGGIOlaS2Npvm2MK8pBPJF8L7KbMVKRDtSg3kZmkFrNmy0IUs3brMGIvkfl/KCgtSibo7OZkLKu82uzP3Ut9mDENK0ga7sHHkuQqoaVdbQzKkyq12K/82N80o/9zf89fpQARQqf5T2DFTlxDolOqOVON5mNliFGbVcdKuZnBekxog6yeHOStjfLBNj4EtYmayjGrK2yc2hlDY1MrbZtJMYrBnlRoaBJpKvrRn6XFpkA5fkCJIBnFfApkE0oSdmAoyAErGWqanwDFhiumrFcz2qgKNG5fAdSahmUUxNZCFpQREProk2jAzDJ+LpFg43vVgN5Ds3tt2Nw5garvu7AZp7FIt2PKNflqFJXhU8DgaYpMfgUVqiRZkxWSz4klB0QzOwPcNSCZgJ3go7VFJps80lFqPZVEbUEHoVkzIpCWNcXAEFJRg16OMq4mYI7DrMhRAwvLxqJ2YJdmqUFmUzkaNASUpIN5QrqtADWxq12UPGaPJ0qOIY27mPVOrqNc8LyTIPhKbb7qfCg19CV+V4dl628UwnjZsZySQiBcT+e8dleNszdOGOeOtylE7pevHWGsIhCqkZXc0041QHTkvDN43v49OkWyISf/+nv4T8N72PfTV7eeLns8enTLeZLh9v+gvws46abEMBYlojfOH2MnCPu3z/ga/dv8eu/+wke8gaXIhLzz4YTOLHLzIcgSrVEwHHuUTggpYLb/iJ6JiXipEqz798cMMSM77y9xzcv7+E49diPEz4eHxC3GW/nDd5cNrjMHU61RyDGi80BgRiv3u7xrdMzRUAIb/IOl5wwaLlmGGf83Aef4de+9TX8p+99iE/3tyg54nXe4c20RQpCGi45YpcmRGLEqKaEKuR2350xdBnPhhNSKpguHZ5vTvhif4/YVflZ6tDtFiyLzpEqm5OZ1IVzlGy3onEllDtRk5QMLy9WAfUM1JFQhwIEAlOUIXgm1DkhXoCylbmXjkHaV2eVmAccmQiTmF96y2+oiHPw4IkTI73s1MQUQkydCMSyHub7FnjHo0oLJEZ8jCj7ippkPa6RUQd4Y4CVWK3MYHuCIbOOIAPKtWEQkfAr9HeuFHRncldpcQlW4bnIqKVpwQgXKDiSHd9EsTvRkrN1PdFMwJRk81ez17q1tmp5dgy4mauT/g39vM2o2pBQN3q9PYNr60wKk5SLeCv7WzhGMSm0JHaoqEEaEzgIH83NETXA4Q7yLHWPoEUZV4rIx7dJqwKSXJYV98alOSzJWqKujZqg9YxKIuxW37GH+GGfLzeCAujmpS/SyKcqow60qN/76C0itA4YAjBWt8/2bHaoDdnQ7D/MoZGDNBDxDNg6YGxgaUYiaoUr1rRF2LqxurS+Rri0CC8gJINW5ftyLnhLcJhEiyAs2kqrnzjr9WoUfyXss9oQaweHcsOi++KyEiGy7Nyi4r4K76HTOuomi222dib5QqgyzV7fPuu9aloWLNCoVvNmNaXTgGaQrNIlqRXupEzO5wkXauUrS3pWNXEwRL13aBM9THIdNBbVxqGGZFnmaPcAuW/Wd0CzojZ27FXgJPesf1F+CVSV0Tgza/a+Qb+8zj7sk6qMG+Da1Xj9Hml1Xr1uAMIdqYryaVB5JXhlkLMiLXWjHJ+xuDbC2GURfAsVt/0FaRDUZEwZIVY116tCIgU7YbUyYSoSoCwl4nEa8XgcgUr4+bvv4fn+JBwVLWk85g2Olx48B+zijLhbsImLtv8SXk471CpmgD+z/xycA45Fjg0AN+kCpKocE+muAQAixpwFsYjE2EUJiEoR1dg5RzwbTvjK9gHMwOt5h5wjulDxrDuh6wqmkrDkiJyb0uxNN+HFcERlEu8gFg7MQ95gWpITYPtU8N/ffirnfOjw+LgR76E84pw7XEqHhSO4wsti0UpFoUqQEzJSrNjFGUnNBG/7C2gQ4buuk7VtGBfhWaknlHvIkGT4xOTTTgaIjWvZ3AzKX3MyjDfna2cWvkg6N3TB0AMny/o4hKqyrpa3AJHVXyE56biyw4jaHaklJAzFr8U5NlHN8mLLyJ18H9BaYe06LEAxUqpem/iJoZUuIKX1NQndicOm3VJVkZXROC7Dis9jc1Hnf7xQ+5klPFHeTZjbPI7ntl6KxII9v7Ca59wChbGoZhTa/uPlfL11Lb1QVx1tdv6PlWBUO+WKHK8mf45yrUnNpSVhCEA642ocGOWADDnX75E9N1u/7HxqenmFVP2Iz5caQeHEGN4EzM/VpbWT8k4xWG+K0ott3AHNKmkOYO3yCYfo4j1yUEikahM3Sbkgvu0EXlRUpY5CTq0lNlEgzVq4qyLIExSxWQLSU5BzaNCSHqIzvm3C130RlGKKMtjG0rgpxqFQElhRRCRMsclDF5La66RIzH2Wa8vUoF/r2NBj06KRt3bRUIkyEYrVZQFEgBcCs5AleZfBtupoWYwuUaze98U3/jqwGyjaQlHvFsRXnSu38lCkJJGU6HwW1n7I8Ha0cDJoEGpmJYJmxTbdoJCutvYBkACmry1j6SBk5ywtgPl5biW2TlZy57EEBmkLZ70poPOqBToK2kKXKCgZQVrIrStoaa2WdRC0pt4oAbov4BC8S0nIeKsuq15KV1yky4iUkIciZS86x7YwR5G8l8WnKsImSI5A2iRoSSWEMaNqGySIQQMDfQbPAWEsIArI54TnmxNexT2GIePFcMTN/oz3uiMKE+ZTh12YMHTCPQnaIXOsQjr97HyDfxc/weGzPd77qRPu9md8cerwYfeIfT9hqhGHPGCeEn7j4UNcTj3ipuCnt1/g124+wbl0OOYeXVfwwXBA32cMUUir/W7Gb7z9EN97fYe7/Rkf9Y+I24xvfvYevr+5wek44Oub1/j3uw9xuAz4f3z/pzHniBfDAc/3J3zvs3v8v1/+JN58eouPbp4AnFFrwG13Qa2Et+cRv3N6gWVO+KmbV9h1M36nPse/eftVvHrc4bh/wLl0KOeEX3j2PZyWDqepx38+vMDDmx2+/eIZXl12mHPEXTyj6zNuvnLGTz57hX///Y/w668/xvdf32K3nfC7uxeoiyjPmqtyR0Xk8OOiom4Z990Jm37Boc/4YDggdBWbccHd5oLTfsCL/RHn0wCQdPngZRJbhRKQlXTNFFvZ0MoOGnAbYVXWHzg5nKYgCrRWsoXwzMog3IU6SLm77KRpwLtEonWikPIkdJ2JsnHzHAUJ0JJPOAfn+1lHJWtwwB1juamOhnKUhBKnzpFmFOHSlF2Vua3Biv083xSRcockp7wTBLR2gjax8cy6Koi16kG591lgRdUZNVV15TWEVtZimlQG4E1Cfm/BcqPPGMK1CYqU8CDogXUrLs+LJGIAaElOuq22T2npxtBXHmQtrqMgF1XfhfmpUREzXAQ4Yl/H6s7RpM0YZgUjQplqYaKJde0r6LhaP7Ogv0iM8JgQLoQyCAosSIl8h5SYS0WQppAhyFdkF4N06kKqqF0Av+Nu/sM+X2oEhS07JTTxKY34rgzk1gGboiSuV1L074oMAPAaq2QD3DJwtJ971r3qLLGP8y4UWl8jHHYOM3Qy1rlE4tW7e1w4zljQBl+uasKuM8LwiNstzB3Ruc7g/R4VFXIinGVFNiIYMvAMVXDujv7douuq16h9735ePddazwUslvWuQWN12hX6REUGubQOyrW7YZoFV5ohuRCe/T6hoRL2TOzv1tHCUnt3n56oaaaRTB3p0u+bcZcdg9De7fp5+nPS7xm7n6HmX9zGqP2ejSNDvNYfQ6Vo9b4t02S0tuJ3j+Xvnq+zsPV8AJA6Qb5CYMQkQeU2zaAABGLs4oRNvwjXhGQ8dySmd9ZqK46+HS4l4bR0eMoDaCZ0sQjJMwk6EIgxVxE0q0woVRatEAu2Knw2lYS5SHlplyYEYinN1B4xSkdPyWIG6AaEhTDPolQ5hkWuE8Bp6h1GNhTikhMoByw1YlI51j5kEDFyjjiWHjUTNnGW50CMS0nOJznlHsiEu3R208G5iFrxIYv5Yc4RBYQQKp7vTvjq9u3q2gPmHPGYB6CIsu4p91evPICd0zOGReTwI2MT5XqGLmPbzUhdwU0/IYQqCMwgXLrQaWfYCp0zITPvwAGc7GrcFPPZAa8QBuvo0VZn42Z5SSIpeVR/x+TqnfSpc8bQFJPAbzL3aBtnaP/ve1eEX7OQVNk5FNDjrbVYGqqNZjNS0Th7ipLU1NYb+15YGZmK0Sj5dVuXpR9/Ne+dNGy57VXJVrRgfJ2zAIogHYo6J11s1B6KldU1MXW19KJeaLYu2CvTJdDbeJVTaJQDQTEMGVk9PxOhs+cbFM1fo2ihrSFxhpe5bOzYsQ3h9zFmnDm7Z31e6zH3436+1AEK+orLRxm0EMIbyUbKXhALvkR/wDQFhLedwIWPIgDGyjGoo2YLRooKgmRgU8Cb4lbcy10zaHK9D2tLjSyD7ikhPCXJbJUnYj38y4sF4RwRnoThnLfaWaESyfExieGfEqG61wn0pm+brmXdgRFVDAgVKM9kcaIp+sJUNwXlNjcXW6B1hej/x0epd9Iua2uzigzNJMZ6qrlRRyt1Qbgot1kiY6tVKgmUWCJnKgRWAhjNyqEwhnlk1CetQRtZyjbmhbxrpuwq6rNFjMSU+MWRhRSs56o9q4aKClK97nSyszseY9Gaq8KyrO84nkQOPp6DvGuS50FZSbTGy1D2uY01ny0qmGWLICsihgqxBDBxpiqBL88yDtLnvZgPWtlMgzfqhQOFKcp3LyIYx/vs7eeYQ7M0MF0GQDIxRfpIrdTTy05sBlTToJ6lQ4u2Ir/Nl4i7m7O8dwJ2mwlhCnh/PCB1GSkWvOgO2Hcz9vGCT/YPuH1+FMO9WDBX4XQclh7/8fQRvne4w6uHHRJV0PMZP3P7Bb66f4uYKh7KBqelx2++foF/++pjDMOC/9P7/xmffPgWfV/wJu9wuAx4PW1x1A37w+4RgRi/+e0P8X/79s9gnjr8jy++jZ/86CVKDfh3h4+Rp4Q/9MkX+IVPvoc0ZPzW6QO8Pmyx6Rf8n7/yOyiF8G/efAXff3uDYTfj//LRb+LmK494edjh33z2CQDgRXfAbiNtxonkPX3ndI/vH29xOo74Y+99E7c3J3xx2uG7j7cAE76Yb/D6uEXOEX/02bexf++EKSc8nEfMTz3+/eETLEvErpulbNVl/B8/+F18/aPXGLqMwzIgPEX8L59/jN95+1xKWssNjsuACpI/TNiGWR2PK150B/TDgmfjGS/GI253F3x1+xYhSsnnxf6IMjBu92ekXsbz9tkZawKrO/JCgpa6ra7tVIcq7aU6373rxkjzmtCZAauZ8wXlq+V9axaIZ5nv8SiCbJyEKFu2FfEQRAo/VeSb0vyiCqHus2sMARAxOi1H5BtRMK7bInYjGigtt4ZCKNm7ihZL3rBIMFi3HUM0ioaCui8u/29OwfzQe6NAWIRcz4OSfrWsThWurJ0OupaNIn2/PBf0Npqc/KojiOYg5FVaSVwsATjqPtG3NZNyaNL5ndiA1EHk8EV3ipD3RQVBhZPCQ5U1WdEvI8qiNwFMOWc6BMQ3HcIhOupCamIqexDrcw+SrN8syt1Lymkk1LvsLuxlKwhavASXoogTudGl7VdUIGTgpLzJbfl9RR1f7gClQlAAbYFbWz57thhW/w/gSoDN7MXXbU+aAdvHouSa0L6nmYPVIs1UsAkBtQhXuBUBpomyzl5aDVdRD/vzTnsvmJqcsy0aa3TDEAXLfghSMjF0ydAXQOWi9ffseKso1xEURyU0Ml99Zy0Zv34WVyqGgRuMah/lRbhg0Uq6mpicyNbQDk1j7B3q+2F9d34dhhZo5sF1hawo/+bq+dkwsWe1Qhas3fkK0SD4mHCZf/s54M/dr8cyk9UYWP/cf7Yep6vvGCropoKrZ+rv0TK61dhboyierXkWRIiqYQAAu174GTFWjF0GE7CJC1ISE7shiNuulR+GLqNyEJ5HTXgoG1wWkacvNWimL10+AWrIR4yXyw0uWRCLqOaBW+VXABAhtlkk7iNVMBNeZymX8Or2OxIhuFyMIMHiEBy01V6ffSDGRsm49uH1u9TvMMPN/gD49ZrIHFegeGswi7EfiWlhqQElBxQE1EqIoSJFWXjNoPCcO3z3fI+lROfXpFjR6/fsmnIOeLXs8OaywZtpK2TgnLCwSOyHoKhKYHQrgbxdlHbkGCpu+gncCcLSdbKB7MZZiJRrzkS/+vsaMV3NA9KSABhNtt0f5NVjdE6Y/z6tpg03ZKFxp/Qf7ZiGdABX8804EW0JpCYeaV2Fq247OYdlYmjrqa/Jq3uw+bC+Z+9ORJPz1+MYwiEKvPzOeXSurrptrJWYmPyWfJ2x+zGu4xpRXY/Rev1f7zwyfgpf8w6tcWON7lwfT9cTQ3reRWxt3bS9wtYOptaxuhJ2sz2SoyE43IRJ19dVqYl2+t6GHxhHP+zzpQ5Q6CgmR7wtqMosjqvuj3AJvnGKZglQbotH6rwpQvRcbcrxqNGvKRgymsqpDbQgg1pM3CCTIDJwt3iNVfgDMmL6B5IOkE2Reqm2gYYFPgCKiSnpYMo3YnhI3UqW/o1IzRc1Z6JMwkuIjHTQeh+1Y2DRFlsTa8vkHTtlV5HeJuCY1OiroN6JBwqdo3BzVq3DZuAFqyn2jKBiayCA7mchpq54HLzRCD7KQhlO+kx6uZbhi+g1azDQPer1VVEtpEtAuRXjq3hWXoZ2TuFGzasio75YUF8srhuAS2hS+reLSLifVSdnDqKlkKqgJ1omqlvJzMp9dqNBMAQBiVraqQByaGqWgE/0fJc9UzNlWRhHRJGUfLciby9BxoSq2taePTsBIF1XxGI2aOOPId/pK+oiz44ZUkoCfBMqN9XHZxjkDyrw3v0B6b0L0FV8tHsER8bd9oz3N6Ko+kH3hLvtGdtuwX08YYyLtNIGKTsc64BSA95exCjvcBLV1D5lfOO91/jZ/acSlMw74Vcw4V988RN4/bDDN+7e4H988W0sc8KbZYvHy4B5jvju+R7zw4Cb/oKvbB9QSsCvfu+/w+nlFs/eO+BPfPW30PUZ373c4/PDHtOS8JPbVxi2C865w6vLDsu5w4vhgP1mQmVxQ06p4mfvPsOL2yPmQ49/8eon8PjFHrthxh/96DtgJvzLl9/A0+fScvy8OyKMIkG/7WaAgF97+1Wcpx4f7x7xs88/EzM1fd/LscO/ffsJTl/s8GI84Bt3b7C9O+Or41t0XcHvfv4c/8/f+EM4vNriKY+45A59LPi5/fdR7xZ8cvuIr9w+Yjn0+Jcvv4EvvvUMv/H9D/Fv336CV6/3eLns8XgZBUVRD599N+E2nbHvZnzcP+BmM+Fuc8HXt2/Au4L3Nifcb88Y9hN+6v4VuhdnPP/oAel2Ru0Y+/szcL8ISLtVU72dINDLXUE8BfSvom90/YPadejGVdVI03SXyq5I2+0UnEtXVfep9gyTc7AydB0q4pnQv4rSVmxNCoEFndFAYHgpPLiiWkPpKahVSXQhStMjCpOqsd6KySonCXCKiouRefMklvXcOnpISbKLSB2kY0AZRTRt/kDbui8izMjK3UAvYnJZTT9BjPSkyMVECLOsR7ySf+DO7CvYEfh4DG3DV5VXuiiHbCieqAVtIQ4ToW7k2QHCycMg7dgmYmc+TUURKuF/RHnXZ3m/HIF6kwWBMUTNSkMalPCuyNo/y/3FSZCl5bYiPCZEtd0AAfU2q02CdmHdlZZsaWuxdY/SOTbl8PnHDzu+3AFKxYqroZNIab/m97DO8i1jX4vgrDtqwNDuFvJoTyJqeEeHZ8dWFiKAK7Vs2QIaO0+QY4ZzaKJhAe6j4RwaWmUEq2NY6xYCy57Icq+15yaPTkAZ7PxrbRhyoTov9WhEa7/nqFCVNk1WWM4F4uyzqid6iWuVzdq5vVNE25tBaM85QAa3DVBGg0OrPueAq/ooAK97e9usoRlaIuKsz3+FfEmGBXAOK40SHSsWbK4+vL5WfR5WnvJ71GDNs05ASlMaKNn1eOnLHo89D3t2vDqPZqDNVKwd27t4LJMxZGj1TqBjj6wzyF7nVhYpEAT2L4QxZQzjgrTJuEkTMAiXYZtE52QbJ/SxeFdMZcJUO5xLh4fjBv+/wzfwcB7dzybGitt0QRcE+TiVAVwDLrnDYRnATLgfhDQKiCFgZZJOFr2PXZpBQ8FhGfDZ5QbMwP14BjrhoLxdNqiV0IeMPsm1HfIAZkFkYhBtkHPpsLi+SAYz4fPLDZ4uAyhVUcHtVJ122qGWgG03i54QAQWiJTPXiMMsk2mvomm5RuQq5Y2qL4cSY99NQJJ/P+VeBNpqj5yjqNLeTNItCAlsppzwncszCYgh/48oLd20KRiGBWPMoMg4lx6lEk6XHr9x/BjHc4+5RJxrj7nKfS7FeDbSibXvJuy6GX2fcded0fcZN8OMcSMB1+3mItyjxBg3s3RVqDItVSWcqlQ+azuyC6/ZeNaxKtwT66zT7Hy9m9gxUtMnMi0Oa08mRWyC+tJYMFN6lR/QTL8q38XmnZA/bT7B54e0IMORDbZuwY59DZSghRqfCyuEw5EVboiJLxBo/EbturFOROO2cMA1Gu/oPbmo6JWFwOqYRn73x7fitNm1CF+Rr9YIL5MHOG/o6j3Y/mdIxrr8lNs53NhvCa0ysIRGotayGic0hE2vu/Eg7b6oIT6Q4KShvO8svD/i86UOUIL1wGuHSh3ZhWb6hyARp/FDTB5YI2oaS7ObJzRS2S67lwFtsreW0aZcCxVtiiACgT1T5qLtxEpmMvRguSvo3wbEQ3ThIFZ2t5NMA0S+vZAHPmQCXNoy6yZLQ5FI2AytCCgvZidSuugcILXRY/BjmlBO9xBEZK1XTQIbrJGl9su4gkbLWJts9KgZgporWmeLseJpIal1ar04nLWHf6wYv4joX8mArYkRn/SdVOlA4kHt3+3DUAtvRcTGIjLUlYTDUchNDMmClwA3w6OToCY8tIWDVTgPq/szlInOgliQGvhBNQ9MMt7uw4Kh7lFwTkp8pSmCQiK0pwTieNBxtxFOSVjQAlIjKut5fMIvwcdiOGlt21AZ0vNZVhgVgVGG/ubFCfEpggh4fnsETQH7fsKL/REfPn/ENzavsL8/46duXuHj8QH7uzPu4wk3/eTll8wRL/MeX5z3mL+7w//8Wz+Lxy/26GLBR+MTbrcXfH14jX0/4XEe8K3zc5Q54pw7fH7cgwH8qRf/AR/dPeFpGfHZ+VZUb7WMAgA/uXmJ+2dHfH7Y4z99/30wE/7UB/8BN8+POD6O+I1XHyHPER8OT7gfzwiB8e3zM+QlYYwL7tUP53vnOxyOI5gJL4YDmIF/98VHePx8j2G74P9w/y1sby94OGzwm5+/jzJH/ML993BzfwIR45gH8BzwZtri1dMOYOCP3HwXY5fxdtrgs/MNUMk7b4bdjJ+7+T6G2wmPy4hPH2+xPA74zukeyyXh68/e4M/81H/Azd0Zg/bMPh5H/ItPvw7MAeelwxfHHbox43969jv4xlde4g89f4mv715js5nxct5hzgnTqw3+77/zM8ifb/Awb/Cd0z0O04BL7XC6DCjKV0l9xje2r/FsPOF2nPCN8TX244RPdg/4yt0DODJ++u6lBCabgj/03kvQNuPu9qQ8NML7X3uD5V4QSxoL8q6i3BbEi27KJiEwaGvqrK2tRbJ0trKsBcmbirqtIgqY5TtxJuT74sF0uBCG1zIWwiTcruW+OKJssvmsbbIcxZwuKFJeNwXEQHoSk8C6Ea5gmMmNYHmbBZllkRdI1uarGzFHCaTWJSjvGgRkfpupZ1YByCLCY2Uj11W32k0U2RFyVl6YcWSCGjAawXTtm0O7fN0wUHTdqZpsBKDcFNCw8nGDoDvW5cd9lTXRtF0UtXEEq5POpPQU5e9PwbmFYRLz1fgUpeMpsFzr/dLE1W4X1P3K/G8RJAdqvWJlZvIKgTyn4Ysoa65WHt5NDn/Y50sdoKzVD6F8B3NUzKPIHdvLthflhLFZvVhswbfPqmbG5+T93CZv758i0XOYgvrA6CYWgHASaG1tFV4HbrU4g/eNzayeO6yQokXJrK1auEQpbVjXi/IraCYxitKMnBZaCZYJRGdkYEcXbA6OLBN0Dq5ZAMD1ZOrA7fotWFGUglfoAJik9dgic4X7xCFTAjTjtdAi11tGmaC1g5+HrJ052vVChZzkuHnLLjzngZEiF44WaUbiCNI6zgms1gY6ZtbGfkGf8xJcnl5eGrRNM6AeumstG/1dM1rkQm7u6N4hhUDHhLDAMy3OwVU2YX4YmtmtVXNBEPjXypGRtZ2PVhwduQbqC+olIg1asiTG8/1J3GqJ8f72CB4q7vsz7voL9v2Eu3hGnzICGCmI/PqxDqhMeJoG/KfzR/jitMND3uC49Kibgm988NpLA4EqSg34Xw5fxdvLBl0QlCJ0FZu04GaQTpzfPH+Ax8uITVqw7yZwJbxdNsglIAQWs8ASse0X3OwuqCXgzbLDsiR0Y8b7uwMoMl7Oe3xx3OFy7vGsPyGEiodZHJCXS8JNNyGmIgaFecQyJ9xtLkj7BbUKalOKoGldJ4Z81jFTSsBnlxtgCRhixnacQAHqJxTx+rTBm9MGAJT4uqDrMpYaheR62uF0GoDAIjjXVQ/Acgn4bLrFYeoFtelFdGjTLdgPM2oV36JSA56WEd+/3OJ8GnBYpCUbY8GH908CvStyVSph4oQQKi5LwqfTHfKU8G/efAW//eYFXh+2eLXscJp6PC5qXjhU3CYJPrvtjPfHA4bNgg/2B+xvz6i3GZ/sH6V0cJdxc38CDxW7906YXxSU24LtszO4q4i3syRYiUHPZtSeRchN3YFtrbUMuib9M6iyrGqp+DrQr8AK2+DQyg6oss5a+d4R1QrEQ3RuhXcjFUFdjNyKLC26xhGpSYm+hdyg0zxlTBzNZQf0wtb8w9rr9wkrDRZeofXU1ico+qCcjZrQ0GFF1DmxyOVPDU22Mpn4Icl10EKg19012mL2H1nkFOgYvcRu/BoLhMAkMvm29AUoAZe8ZdlRWG375rVx7GzHlooAmTP6mktEem+Z3LCyGoHf1rE1MvUjPl/qAEUk0uGCaWGBcyXybUExtVPrpujYFfQMeQnncAW7kdUKq3AWwqQb/yW2gMJIW4ndaMscYDkwukflYPTtReSNQnQs0bQZ4oHbNQRVqvUgKQn/JD1GNQSEdJho1BsvohRocuphJu3xF5M7a/dyif7VwCg7NUA8h7bRA7KJ7opKuWv9UAch6cSx6N6Cv/5NUL8icj0YNpSja2hDmEW9sdwIAlM2qnAbm6qhcVesZJIU/am3WjudBU3wNudUVwRjuhJZakQ43dRvZ7+eeFwFOUEznSm0bAA6rrqKeA7o3kj9+4rwxlCzyOr+TmIpoItcDugepf3aScSzyvtviphq2bpntVliL2OFVVDMtuDOitZoYE6VkIYMOkdsthPGncD5P3P/hfB+YsVP7F4h7DI+Hh/w4eYR98MZz9MBmy5jCAvGsGCZEw5lRK4BD8cNfv3xE7x+3OHzyw2OU490s+D/+vGv4e72CABqzkf4/37+Fbw5bjCkjGfphKQqqO9vDqDA+LdvPsHD0wb7NAmyUQJeXnZYloiUqgiozaLB8rXbB9RK+HS6wzInPLs54eduv4+UCj493eLNmz3yscMnwwNiqnhz2uCzpz3okPCiP2DoM+YcRejtlPDV/Vt88PzRhdqKEsS3/YIQ2Z2Fcw747uMtwiVgm2Y8355BJMHTNCccHjZ4fNoCEJG4m2HGtl/0mBGv3u6Rn6RL8EUvGi5F/XeWOeHT0y1Ol/7/T96fheq2bWmh4NeLUfzFrNba9T51VIbH4qphnhtJZKZeg1QzERXzghCgD2I8xYP4IAjiQxAg+CQhgg8+iKD4liKSBIiSBNdrhqnecy3DOEZ19jn77GKtuWbxF6Povbd8+FrrY8x9QmOfxITc3AFrr7Xn/ItR9t76174CJTs825wAD1w0A17bHJAnNZHLAXfnDd57vEZ+aPAw9piHiH4/4Wuv/xo2VwOCo5lbKh5DaRBDwTg3+LXHZ5BjxDe+/QZefPsK51cbfGe4wunU4W5gYRU29FaJoeDZ5Qmf61/h2cURv+XqQ3z/sxe4ee0Rv+3qfTSbGdfPD/jh1z+E22T8tje/g5t377F/7YgfeO0FXJ/x5rMH9Fck5r71+j3zda4S2u3MxdEmqV+JFigNWw95V5B78snWXI20keU5KFzN2yRnrYh4cmgOipp0hTb9OvbY82oIMy3uFV0WUHWnfDiXuTgLIxdx5uHiMohICp7EZ6wtBqwAyRtFk50gDss4U6K+ruhYZG1cazc3ys3RVrFP2tppCpo7HeOVs2aZOYvwgMXQ9gNPYz4bUzXY1c3k0bR3DK1FU9QUzjOAcVAl0i4vUmH1+LLCxBAsFOVQWmEB1PExHjgPNgeNTjHjt/XiXYsv2eR6/dcp1P+bQVCohKFlPFa5PDUHZlWRujHU6jjtFWLUIqLmNXSlZpqY0VZSwiGAmshIjbuaE6m6R84RRSViNf4aYOEweJWlSr3wpRdK0vKyInCzHoeSQb0G+qVLBktJEEhymnTMVYJ5mbhRg7s6PgxGUoNCkwBq+wIjBwg3EnYsnZLUjrFCh/4xLrwJRarMSrsqaxRVKQ3PeQ3gq1U3KmxaH05gSUs2Jr5bjOcq/0cna4ttr1JrrdANIQKwxJvbR/QFNQ9JuL/+HCD3bX2YLPXVvtOgaiSSmSsnxaS6HYnWsm7jACseExT+VqSmcH9KBwZJ2uquLbSrFqDMbPshk0zmCgtdKB/Jckj6t45UZT2bEd85wYWCL7x1i93zE8LNiP/uc99GeD7iKze3+MHXP0b31gnft/0YuzcoSb2MA/b7AS+mPX7l8TV86/Eavzq+jjFFHDLbBbHJ/NsznO72zAl5E2YSL/sZY2nQNwmnucF/fHgLU4r44ecf4WIz4jw3eH+8qunhUw7wXvCli1u0HS3kv3m8gfOCt7cPeHZ5ggjwy4fXkDMLgwKHMgW8f7xCSVTmZHhk5ZZsdiP660E5LKBPSztD9gnn3CL4gq5J2MUJiIJvHa5xnhq0bUIAuSr73QDnBM4JXqUt2pix34549/IB8nzC/bTBy+MWIWacc4OuTXj+/IA3n9+j2U/41ukaL49bTCngnBuEUPD8+oDd6yegOHz7fI3zQ4/7ocdH475a82/7CUF5Ir5PeHHe4zvHSyATUTI+yfPNCXBAFxNil5Gzwy8fXsM0NjhMHV4MewwDeUG5UEW0a5hQvb8YKEsP5OlYgOSYI0ryuJu3yMXhOLZ4Oe/w8d0e3zpd41uP17h/2OLXTs8xnxoMU4O7ccMFHJZIgW2cgOLQ6D1S97cRhE1G3zG/aX91BnqS/DevMZageTagvRlQrhLa739gAb5J8F8+ovSC9ksH4K0R0hRsf+AOuJjRv3tA/+aRiMxvOWB8nuF3M27evcf8LOHizQPOn0tIFxnxyweO6Zcz3JsjJ/R3T7RM6As2VwOH49dmyOWM+arAv8YiS/pCSbEAfj8Tyc40VkRycBuSP522mCVKzbvJ2qZfCxT8QKNJK4hc8lXpUh1ggUo25uIXlX9nqcfwujBZIfzTlSKqirqWnotYRnYoUrUpgIonjBtTDUETJdT22rwtC+INUM2k42HpliJT2rJEucwOaaMFzuifounmIOtQF5n5Qr10KjL96SuUz3SBYqv4ahC2Xo0WtTMvoARLLYudF8B6at4qWKpwfKuqHA+YJbQoUx0CjdXW71DUphiKMy6FwJMCRYgcGPEoaPS1tOrEWFDbTl5N49xsFTF/77apupbaKp0FEsg9CFLj0Uu7Ml8rBv/x3FjsttcChe0rviecydGxmycereBzNezQvFFqG6pwxVOUOFX9QwyZWF0TI1kB3A9ncJ8R1czjA6grAoAPsVc1kvU2LRKgSu6q0ZRenMYKhOX7/aj+BUYQs6wkRSJqyKKAqpdAYp4fCHUW5et80mToSTyCnndR3wAI1QSyU3WOp3lbLXKyBpYJKn/FqWLImWmfB770/BaIgt3VGV9+/SVcEPy2m+/gzctH3Fwd8X+4+c94fn3AD11+iN96+R184dkrfLn7GJ+7vsOzzQkXYcDN9oz7qcdHj3u8Om7w3nCDUSfZVJhdM0tgzk6TcBxbmoOFhOf9EZt2xlAaNNpW+PCwR0oev/3i27joxko+NYJtkgDvC76wuUXXzDjNLV6c94AjyvDa9ggRhw+O5KVsAgP5kBxuz1u66ap82Ai1F5sRzy6OlWS7bWjD325njCXCOUEbKYt2seD2uMWcA+W3nlLdy56tJzjB49yjDbkqYa6uTjjNDQ6nDiEUzBKwaWe8e3GPz1/ckRty3uN0pO1+KgHOC97aPeLtqwegOLwcdnCHgPPU4H4kenHVDNi2M0IsDAGMBffnHvfHDZAdHuceKdOy/7o9AwC6kNB2M0rx+PB0gTwGFpRThzwHJGF7qRTHwiEKnu1OaDr6Hx3ntiZTzzloXECLlAPGMeJ22mF+7PDivMfDsUc5NPj4vIcbAuaZRGEpjoZ4hddiE2ZIoRHfpiWv5ro9wcWC2CRs2hk+OTzfnRD6BL9JePuaarHnV0fcXJzQ7if87979JuBpFvjVt7+D0hX8jrffx+vPHoCm4Mfe/VV02xlfee0l3r25B6Lga1/4NeBqRr+d8Ftf+xDN1YgvXN9h/+YB2GR89a3vALFgux/x5vN7iBN8+fVbxP2M0Cfc7E8QR3+YbjdB9gnPrg9c3HUZ/mIGxKHfTtUhNqg1fFCk00+OY4Oh7GZiJ2pl75bx3kw8naBKmE2UUJ2rtZ3iJiUCGzpdVXmyIDI6Vs0XRj5x/Ny2wM/QNrKSe1uivkZoFkPzdVEphmoH4aJceZrisDLaUzpE0u82ft+qMKqtspX0uka3GOLkpRZ1T0IjP+X2mS5QwpFIQt4WIDJW2uK5pStVpgagpmPiIcIdQrXgBUAS5RiIgNiEk3nj+IdYGepyoi0xNF7cQvTs+9CU6j1QybTKfbDvS/usqI9HaciUd4VmROmC7y9bruDnSxoByTmSsKnFU+lU9uakSm9pRS01ywUKHdaCYvaVB2Ok2LzPLC5EI7rV1AjJYXpu7TEA4lA2Gf4+EoXJDv4Q+RBkIhbSEN2BMv79mbyZGs8NVITL1AFPuCCKSnmDf63N0yon5b5RCfLq/SqzXuBXqX1kp+2eoMRoCcpJMiXSrEQ7WVo5ecvzVY6xtr3M+lkikad4F+EHzcxIvpLUKo/F7p+2EOqOgu3VGc1+Arzgi2+/hGsz2osJ3//lDzF/YcTv+a2/itffvMfV5+7xf/6BX8Tu6ozf8aVv46vf923sXzvid9+8h9ffvMflZsA2TpDs8P75Eg9Dj6yTUBGuxMcS8TB1+L9/9LvwKx89x4sTvTVuTxtctYNavQP/+eF1DEOD75yu8JA2VKVLwN24wWlscb09o+iq3jvBq/sd/h/vfxXffP85SvH44tUrpDnil45v4jC1mFPATXvGNEXcT2wVUdnT4njuOPn2Z/gouJu3eHneookZb2wf4TzwatxizBFxP+P59gjf0rV2LBE+ZAypwe3DFi/u90jFo2SPl8ctXp026jBbUIrHcWzxatoCAjzbnTCOEQ+PG7yc9hABX198LWYfhw7vfXyDj8Y9Hh7pdNt1CaeHniThVxd47+EKHxwvcXjssW+p7JmmiAKH6b7Dtx+v2GoaPHbNCNnz2WlCRjpHfDhc4DQ1cE7VRucGwRfsN1zpn1KL46nD7f0Oh7kDOsqdzQ33pj8DTnOGiofzREVS4jkeclMXFiV7SHLYRDr5Wl6S84IxRxyPPfIccEoNkB1G9YGBF1x1Zy6MYsamoVHXkCP5Sa82+HjcA7PD7WmD89Sw/elogFiKw3V/RrpK2DUTvC8ox4YGeD1VXvSPCcji4JsMERayECJu4xzhHOj2e2rw7fsrHKYWEOBu2kKOEaf7DU6pwXxocU48p8hapDlK3q+6AWgLbvoTNtsRTZPx7v4ecpFwvTvTnO8c8IXLV3DbhKZLePt1hkW+c/0A2TMi5M1nD5CGqFv3/IzSCp7dHIkUbDLa/QTxQHM10vytEbTXIyQA+WZGvkocc69nKpU8zSYlcuHrMvPUyj7X+Wkdm+IfddwPRL/N4h4CzkvJ1fEzaRhu6Xg+/OzQ3hKhL43xWJYxuGYePUTaLyhP0ykaFB5D5QDV9yj/xMw7pc81NFZU9p035alSsaiIwSlvJTk0d5++7PhMFyheCUC1XaMsb7EJyyZr8AJVBvi0IlICldNRjbxWf9aKkurp4WWRAcdVNWp/ayuoSogbIQoDLPuUl/0GQN6GBT0pxGdVryEqziTRHkuVnbWStgrcWgR+9dlAbUnxfxRuaxd+iEnJ7LjdRgspY+Vrj7KiMdOCsNRzvmLwW57PU/kZ6sQvup9PgqME1da+9oEddf1+dPDV+GlZDVRWuH1MJc2uPq+sggkNVdGH2Cmhza3uF2f+N0GWlYMiOAzsspMqi6Vz1HOlBaFvM5qecPvFZqTU0wPv7u7hgqDrZnxh9wr7qzN+7/Wv49nmhDf2B/ye/a9h1034gYuP8EMXH2Lfj3izecCzzQnbhom3Ig6n1CIpykCSpcNUYiV2fuvxGvOxxZQiTqXFPEe0PuGiHeAcWNykgMPUYlTZaiqeJmFzoPmXOGRFMfIYqG55pFT4pj2jZIeX4w7jHJGKxyZMKMkzFE8/cyyxtmj6MMM5wVg4GQVfsI1ciQ+ZnxsbTs7esw1TRMm0xSNNEfMQKQkWh3FmsF/RojOLQ1JregDYtyNK8SgD7e1FHKaZ32Mk1ikF5COD/KxF24QMjIGmbOeA09DhNDcoQ0TrM5yXWry5yeM0NpgmThh9SPAtr5F3Aswex7mtbZJUfJXZ95GDQhKPMnvkIWLIkWiumskB2loBFjTJCWbxkELSr302AP6+OEQ1M7HjhBMk8ciTh2SPqbAIz/Zex+sDoXlf45UfUtQwbyCCA3GYEs/hE9MycVWuHl3h9Us0savePgIUVXE5RT+L8BlMEpZzJPQHGqYGSQuoKYfK05pKBJJHLn557HUCDl5o3hcYFtlFuvHetCf4lhEMfZPgEu/hEJkQ/dbuofKnQk9e2WubIxCJKF5s2Q663rBY9E1B15Fz028olUcQbHsuRMKWCJJ4QbeZF1v9loMY0XptAXV5CQ/VPC0XChGbxLmrhh/qubQQw2oX0eVFmKHjXhgUwbF2NbC03a2VP6micCV88GlBQsShotFPbCY8ODYqb6fyJrX7YEIOEpz5Pp913DUvm0+xfc8Fys///M/jj/yRP4J33nkHzjn8g3/wD578XkTwl//yX8bbb7+NzWaDH//xH8c3vvGNJ6+5vb3FT/zET+Dy8hLX19f4M3/mz+BwOHyvu0JYzCaVo1oEV9KoTuYz+39mAVw6oixlQ1lWcxeWKG6zuwcIS21oADdfcLXujdOihY6RU6us9BgXmbAs+T0usQ0iyo3wGg9uF/eJf0Zy1QHWD76iAIAWKmeiRjgH2gyLI/HJkiqNWLmyTY4PtGEOJ+W1GAFMyD8hbwdobikBdkmD5qzo0fOZLnMNmBKVw8omE8kybxNtc9TAKHuojHCrxSDJuW4xp0u0di+9EKm5a9RjxAENrZWn5/x+kpi1rVZQjeww+cpTEYUo0xUl3WW3EFIxeZUdauHaCI3hNEnZWmnxioNNvkm4fP0A2SfsvvoK/Rcf0b95xO/96q+g30/4/Bde4L//gV9BuBnxP/x3/wG//Qffww9/7gP8jz/0v2D/xhFfffYBfstrH6HZzHize8BmO2EcG/y/vv1FzHPEY+4x5ogXpy1OpcNh6PBv797BNw5v4PZhh1+4/zJ+5cPXUMThrf4BsU30F4kZ4xzxP91+H24/vsTj3OGsiMVbu0dsr0n2/Gi4qM9MKqH+uwzLv0+nDu+db3CaGkhxuG5PEAAfD3u8OO/hYsE7N/eQfcLVZsAsHrHJuBs3ePXhJU6HDkX4LHzr/govj1vMU0TR171/e4X3Hq+RHlpM2o65v9/iW4drlFcthsTV9vDY4Th3SEPEYejwmDqMD/QlkdkD9w2OqUPRZ7bRHKFj6jAMXFFHR87AXAKdVaGTXnFwjpN/vmv52WMD1xROvrMnIqAEx8fUwdRhhkRMhdyakh3upx4Sta3UJojn65wDpompztDPm+eIaYqUcOsk8+pEngczkHRhAUCOER+eLtjCmT2Ljdkj+oI+JuQh4m7aIs8eeQ5VFh59YcqxrYHuWtyfe7rbasHUbmfymsIM9ESpcuIKOpWAss/qGsz3JPFomsxQTwBwgn0/sojTZ77dTyhaZOC+we2wRU4B7oq5RsgO0RdcbwbElgGQVlTadnveUmWVed1cW3CxHdDGBETBa/0R7mZCuJhx2QxwfWaYZJPgu4zHudOCy+Hj8w4Yg/rusOAq4lHGULOgZJuxCRO6nnEEFw2RlqtmQNux3fO8O8J3Wff9jHA14Xl/RNiz/fZ8d4I0bBu2mxmuy7jenpF3hWGXmxl+9OjbWUNTGewYjmoLYFYFfarGcyaaoFpIWzZdITUgqg2C8hKJiFPwgMkvAYGqeky7hfdn84c3eoD+PF1mpH1BvKMIIO/YukkXBfFxUXiaV40oEuIPy9hhgaxuCGjuQiX0ozhNaAbggLTlcYyvZ3za7XsuUI7HI37n7/yd+Bt/42/8hr//q3/1r+Jnf/Zn8Tf/5t/EL/zCL2C32+EP/sE/iGEY6mt+4id+Av/+3/97/ON//I/xj/7RP8LP//zP4yd/8ie/111Rq12FropOZrYg0P83gtF3SU9t1S2oA0NdeQPLmXGocdprO3GnJMi1eVtFA1Ztwvq5K0TDmQpmffZ1FWKIRUVoyrJ7T5CBNedmzYsQVLi3HrPup1sjDrbvOpkbl8cbIdiITnY82a0KG3sfFifCgmVy96vPNR7M6pw7WR2TQoguu+oBUpGK9TE7LMF9K0Ml4404u9a2r/rZhipVVMqIuVacNVy1uC4zyLAjdIkguNif4duM2Ce8tj8itAXvXt3jesfi4IvbW3hPWe1r3QFNm/CDuw/xenfAZTPgy93HaCNTavtApCDDV5JmUjt3s4ufUsSLtKfh19xiTBEle5xSgzQFDCnqypcrZK+fcUotMHkcZiYLl+yxb0bEULQFEDnZiedqvThas+uKfMgN8uyRikfOvrYWIERlrA2wa6a6uucqWJ1VZ4eSvK7qiWIkJXASuQBy9lwN64q/FK7ki67mUvE0QcvLM5Szx5QDJZR6n7viMJZACbcDjwOKQuTVoAmoVTxvvrmQt+Kc0NxNj1f0WSxw1V7dUIdiiOXq2aqIBLQ9AfAzPyGdzHoObBAohefIY7n5kyJL3u5neySKBhHq+72NO/XDne67tuD0M4soYlbn7C4AAQAASURBVKHf6WZez/UWwsL1cp777dafby1xLdJS4f0Kj8ovanzhv4urSFlFQ/KCToVYavEEaN6RXWdgKcicLIdnv/JSi0I4QecTQswIkYWJU5t//4nzDigqVLQo1X1JWjzXllfD93rPaIfoeEzGVYLyr5xn4df4zNZXmOEDX7OJMxGSmBBjqZwtNESQYqRjaxPzUnwosuSAGrjo/dPr6zLPtRm/udWYW8dD4wUCHN9MSaNzQ41SWb9H5xgLHqy8GOVA2rl2Ov/Unz2ZF1XQsTLTrAGGGUu8QV51KdZzqXIuP+32PRcof/gP/2H8zM/8DP74H//j3/U7EcFf+2t/DX/pL/0l/NE/+kfxO37H78Df+Tt/B++//35FWv7jf/yP+Lmf+zn8rb/1t/C1r30NP/ZjP4a//tf/Ov7+3//7eP/993/D7xzHEQ8PD0/+ADxQr8F8pSfPw53CQjbK9JEwS2UzDAuDhz+ShzK/NUEuElUwQdQGme+Pd1S1iFdOy5VGeJtaRmGv+BjIu1DCUDyQF1EuU71BagaGo8StEjs96qRabZwTUZqyYUVsenLxgGyU56KcGwDkfiTHidUC9lSOHE6exkgN+4M+Q2XIHPiRAfREPMQLkoYnmpKI7RxKnf3ZkygcZPFJESBfpwo12rkDQHb/Q+B3adR43hE1MtWOUzKzmxzkHGsRUdRfxJ893CGSSzKEWihJn4HLRIOoILUIctmhuQ0s9DRNGLPH7urMQmSb8M4XXiJfJbz9wx/h9XfucPHaEf+X3/rvcXVxwu/+vl/H7/vqf8Lrn7vD/+1LX8cPvPsRvvDGLf6vb/07XF6c8JX9CzzfnHB47HHOLYZzi1/+4HX8m9t34b3gPlGt8q3DNW7zDo/HHr9yeI73DjdIH/f4pYc3cD63ePfZPf73X/xVeE/X0Ll4TFPEP/rmVzEdGJp30XI197ntHXxT8MHHV/ifvv1lzPcdknjM2WM+N3h7+wAEwTdvb/DNxxuIOFw2A+akhMhhh+mBTq0vz1sMpxbfd0UuzHlq8MuvngP3DfaNtkRetfjoTGJmEYdhaiDHiOgyJDvcn3uctP//xvYR6OnG+p3zFTB5XG4HXG8GlFPEd86XGF/12G1HXPYD0NG/5Hjq4NuML1y8gns2YcoBLw47wAlu+hNcQ2+W22EHxILr/oyb548oVzNuxx3vCV+waRIksTgrM8+hNxWetnwAIh95CgiWhxNJki0a0LmLE/zgcBg6jFOE9Bl9mAnVWysjEQnIaoy3jRPcxJbHlLTfL0Q95BWvYTjQW0WKg5x038RhziQRI4hm/5AI3gYG4hVxSGNgwUczDGRxmIsnsggAg0eIBW1gNX+a1aLVxv8o8F6wbYiaWAtFZp4vmYi+PLuiSsw7ASaP09DiOLfwAwvYaWI76Lo7A1oEeccV+cPcY/54g5J5TNKSaxQVuYquwPUZp6nBw9Qhv2IR7YOgaXiO0Qhe3xxxsRkR+wTvqKZ8PHeYEnkp59zA6WTuIQjaCiziUA4NLpqxzhdX3QCX2AadM/1vHucOiAVBC5GorRYHFrlec6CiIzcmtAWtT2xvOV7rpmGBYko123evRW8ZIrZxQtwktDExSduB95ui0JturpN4c819dk4Q7tRssmMcSjDFaABcKJwDZsZ8mBO6m1aFhpJypZGaaOy0peJmR5Rbf+8T5x0Jy9yYLtU6P3n4waG5D0g7Ewo48iJb5VPaWGsmmFGAKAiDR9otC9bwyN9ZqGM4caFROwifYvtvykH51V/9VXzwwQf48R//8fqzq6srfO1rX8M//+f/HADwz//5P8f19TV+5Ed+pL7mx3/8x+G9xy/8wi/8hp/7V/7KX8HV1VX98/nPf56/sFW6butVed20J7ZUjPJ0Vb7q0VZ5lCIQYjp4e59Vunl5D1+of1U+hzzp6VVHwtnaGnjyPqcrj4oA2D4ZUhFW+w6sEBqpr6/8Bzv2bJHbnLTFeoP1vK32TdGP0uBJRoShLusCS+z/7byrLNtpIVAtnZUsaojMYnImT/dzfR6mFcrlUG2XnUBtnhVt0cRWeEG64MMheyqdpKVkUNqCZjvD75mK/Nr+iLBN6LYz3tw+wvUkaO7aCQ7AZTyjFI9UAo6JpM/givpZuOoGWoSrYCkOx9zSSt/oQNlX47HD2NJXZKLyYtD+vXfCW0yoikjJ43baYpyJloTVaqqIwzxFnHPLlT601y4LH0ESJ671Sl+0vZHzsoJH1lW5rAzhllMPiEL82r6zX1a+hkNt4dhElxMLGOcXvsR63928OMau10z1M8XB62gnq+/xED2v+rPsnqyUjf/gtV0DW7UrD6oIW5SGmDwpAoDvRiQATlDr0dB8JgxhAJ/TerpMKqktIOcAMTDBnhdAIwyktnCSfolzUlfq9v/12BwU2Vidy+xYPNo5clKR3TWqIwDgaH8vQRQ54zUvQtWPCzTnw7xcyzVfzY5b1oDUJ6ShTp9jj2VxUPCJEDs9r4xj0GtoaNm6xSN8nZ0Du8dTorJJiquoi0mn67kAxwTj3BhChnotHFFB40Rg+bkd5ydRGO+JrNAnh6+JitZ4vXGKoTH6M4ZF8rOcIkxOz6EVzHAgqhkBr0iW3R/1vBrfzUj/TuA8arwA/GosFSwcuk8gLE/Ge7u+brknrTVep5o1quH1s02FtJoTK59lfb8oGl85MHYs1l1YbYLv/tl/bftvWqB88MEHAIA333zzyc/ffPPN+rsPPvgAb7zxxpPfxxjx7Nmz+ppPbn/xL/5F3N/f1z/vvfcef5FReR120SqRyFoPfaYkakOuQdnoRKtqG38XGQ7X0E9FWjUv86Is7LK4txqrWftxdvaMJJpVBZMv8xIEqIY1rtD4zSWH+Vp5Mnl1o1l/0GRaokFdxu7WP0gLh8XNFrgly41RtIo+++oK2X0YnmYmeIHsCEVKn8mdEYd0Q9Z5OAQSrGZFZjyQb/RcqDIHHotDoboONq9CjVn3Z4dwCIhH9jurUY8Diun8gaXN1NBa2SLakRkqhuuZ+3090fL+rD4LCh9+4avfQdjN+F3f902887lbXL/1iD/6tX9N9csX3sP/8IO/hGevP+CPvvO/4re88yF++9vv40ef/QouLs/48u4lLtoR40Qi6eOxxzdevIZ/+Z+/hLvvXOIXj2/hvZfX+PD+Ai/mC5yGFt883dQslG8ebiCTR7eZcd2dMQ1M9x1SxMPjFt88P4O7bfHicYfj2EL6jC/sXqHfTLg9bnFILeZji/90+zruH7a0X3/+HaIHQvlp/nCDb9y/jnKK2Owm/MDzj4EoJMkWFoQvhj2zYTYjLrsB+Rzw8bBHmjWbJihCaKNRcvj4vIfMbLW8tqVr6N20YZF0NVdiZhbPAbYtnFxnX1GJdI54NW7hQgESvUyc+mw8Dh3Cka0mt8kYR/p2YCK5UYpDHtieMi5MG5d2jX+MKMWjiwn+FDDlwHDCgat+2ZN/kGVx7o1tgveFHJcjr0OMBdH4E7N7UtQAgOs4ukdPxVzwRIPMCAurQqFuTlDGgCE1ddDvGvqxFLDwap8NbBddJbQhY9tPcBuqkeAFfZNI1owsnqxNe05U5Fx2A2I/19aNG93SrtHV/ebZGTkTDbH2xTQx3+eiGRlQOQccpxbuEDApYTn25HHEh4DT1FA9E6Te194LLrsBZZ/QKZEXmYiEjavbZoa09HVBWM6XU3RIhEVA4wrkHJ68ZyoReGzqgqAm5opDnj2Ri+wxj5How6TtOAHmc8OW6KHBVCK5MKJp1Hpet1HHCrBwTnOshGXRwj7PHgEF3pdlTZdprtc3CU2b0LiM2CS2U8HCJypTP624P8EXtDGj2U212AmeCdjSEQ1zkfNIDBnpOqHrZqSRSJ1z6jHVFISYIX1GCIt3kvelBs8CQDjxHoOHWk54ODV9M2dc6TOyem+JqmtKT3SlbBhI2L9QREZ5lTULacciqnvFebV0guZeScrqrVJaky5zbPeDp+K0UY8wbURYJACAasmxLmJ+s+2/aYHy/6ut6zpcXl4++QNgKRoEumpHdfgT1Y9bKqOhENUw5wmKApjuu6IFxmkBFhO4rNyIdfGvUmEAlb3sLJ3WmM9F2xbtqkgoT7+/XjTPwoPGP6CUVle11vdjVSuLd4dDLSZq4WQVN+jYCr1ZssrQkNgOQ1qxwWVpU9nnml8KNGOIaIkOKHUQXxG6rNJWlMZcIqsLrWBRPAG0zPY85/M1mejumj4F81XB9fURssvYX52xvRxQNoJ3Lh8Q9jPazYx3d/fo+xnPO6pcAGAfRrqHphbn3OB47vDe8AwfHfc4zB1OuWP7Qy+cTdxO/+3VR+WcmzqgmRplUUUs94D35DAU9acwZcSYCZU5J6q+4OtTChBA1QgO3upU0ZVrJh9lTJGDzoqvZKs243FU9M48K3SlOJWgQYmKIvjVattWpA7ag18UHwJAiqIlytNwjoVxRUNsfJlXRc8KPbTVprUmKwKxRgn0HHrlMowpoAgWGXhYoTJ6XWIkcmaFmak4RBESuz7RlXpvlsJjMp7HnPkaaVWpoj+fcgSU8BpCgSSdPHUFHnxZHDiL19UyOVEhsOVhKBWApZU082dEjBRRsMNfo16KTDaeE+6s323XXBrlS+i1SGrdj9Wx2fGiUNHkYkGIhZP4Cg2xgstWzd4XzUjiBORXz7WHkLeioYcA1ANmhcJFFnWNz7QdAJGaNIan95keu4cwPV3bV86ORz8zOIELBbHJ3He9Z4oWPnYPJ7v+kSiG8wyYtCLB2jZ5YpFdfTi0zWb3VSoejSI43i3PA88Nn21vz7BeWx+W87FGsGzLFWHTv5JfhASenyWZxYWIItX2+6zFqCIkpfgnnMO6MI7LdV8rcyqfMS9zmJuV5NoIC5pCVLr6bln6uyEwQU1IdcyuQYg2ljtDyV1VgNYOgIOiP7o7KmqAo7DF/Qbn67+0/TctUN566y0AwIcffvjk5x9++GH93VtvvYWPPvroye9TSri9va2v+bSbE1RttUuuWr0DgBmS+aPm2zQctJy2WOrJNWirEchG4UjlflhlHx+pnPHqvFpVNw4M8jMTtUjX2Xjv+RnGK0mejq8XRC2c2p1DVomb6sIqURAGh+aRFz6eFcnwosZu3G9oeJa1pcLZq8GQX4zaEtGO+SZXgmy5yFQHjR7dx4Euhl4tjzXMqkQWe2bPHs8gj2SdASHgoLc6B9nM1hxvfmkF87NcCzunCiA0UmV5F8+PrLY3CW9+6RYIgq9+4Tt4/a173HzpFf6P7/4yrp8f8Hvfeg+//a3vwN+M+ANv/CLeeX6Pt28e8Lsvv4k3Lx/xxc1LXLVnzCZLHBt8cLjAtw7XGF9uGGn/3g0+POzx/niF4dTidtpqqwQI4IDoPcmxThxXpuCEfCot8rQMfpXEJxzwzqkBRo9DYgotHFek4gjr2pbFYRpYuJxSCzd7tDFx0rCWhkpXz3MD6TOlrW2ucD0ADKlB0nTudZuDBEG2eGQIFYqWhgNtyn410JEkaUWPaBukTJxY/JmyY+dkiXWHDupCDlcqyu9qM/ety9h2E4mBV3N9vQgo/5RlQHexEJovDudTx4LLVtM90UibCKcSsO2IKMwlwJ09xqTXoxG24o4Rkh05GVpMpEQirElPx6HBmCLcLlX1jPOCY2rh+oyLbqRyZGaBW4pHmgOLDTXTK9nBR4PouWo34u1x7oACxMik6HAIeJw6SsJVieN0ggq+KDck1BbeZTvAZUdZs7bBoqMSLQYWG25gIOM8kBvSKnoAsPWBTHKzbwr6lmZ2Zg7oHAuOAvpHxUAeDxJbfK7hBJ20+I2eqp5mO1f04DzHWogl8TQ9VJ6Gn1wtJtxDw/ZjQ4TBnp0+zthcD8jZY8wRfiQZOmVfC5jYJfqPhFRbJ9lcnZXQPBe9/j05JC4Ihnnh+VSC7kADQru3qNQiYT0Vj/PUIPqshSaREmtJMc2a96D93cSMrk21MMw13MYtKq4U6zgpANwpIDyyqIbXQlK9mEphcRDvSYx2M+85K0ryEGqmDsBJ3jyfzPKCi3NF1jPIP5xYTLjCqACv6Ek4ch5LW0Z+hDPDTMPZVe+q0jBfyRbaWUMYzZ4BDnAaA1M6hry6RL6i2ILK8Y9s8iKHbmUh0n6K7b9pgfLlL38Zb731Fv7JP/kn9WcPDw/4hV/4Bfzoj/4oAOBHf/RHcXd3h3/1r/5Vfc0//af/FKUUfO1rX/uevq+SdawyzuCEYVJcYEFKFCWxfplNyJWwY+hD4Apl3ZIw8xkSTaV+l5vd07BBLXrs3+a9glhqyiyUvFQs8Mr2y6PaurtCN1rxDNcCAH8MmuMAohiHWKtifxcJn1kMuiEeshyXm92iaQc18vNlWfxZHBSmY76QRKvQBbnj7+sxFFQ0R4IAY2BhpOZxZZ9YjBWgvRkgu4T5uuDm+SPQZ1w8O+JCzcu+dPMKss3YXox4Z38P6TOu2xNu+jN27YyreKbpExZuwYv5ArfHLV4cdvjXD1/At2+v8Ovn53hxprspB0g6XnYhwRWHfTsCbcHh1OM75ytI4gT08rxFGhpkeHhf0DUzdt0EiJphzQHzGHE7bSG6Qs6F3hw7bYPUSW/iqtvUIa0nF0ZgK1um4ZaZq9/oKA9vfCGPRYjawAuiqhSQXe3DTyP9OjBzRe+9ANoiQHYY5kjUprCtg1hQ1M9jzVFxs+PvC/kr59SwrWcDupc6AQGoqp7oS1UopELb713Dc2DeLIZs2ApxynEpiHSziUqSr5yMoH4V8DoRaM++9VRC5OIxzJTIb+JcZZKzTqRByZhSuB9uzbPJnv4iZ3qmRF8gh0iiqHJoupAocVWeDo83Q5RnnYtf2hhrXwld4IxzZA6TEV+LJwLmqHqJocBF4flwUtVHFsZmhVIqDKxsQ+ZXCIszO4fRF8gmo/E81sqFmYkmdN3MsUSLG+eEk6KjUuUJJ8MxzJAXQHi8hmApmgIsCKBN+N6hIoLGx7Lrmrel8nYsi+UJfyUQ7UhzqKqmsqHax/uirSreY9byqxy1WBA6+qwYmtWEDK+KHOcXfhcK/w6hAH1mcaXXL6rSqdGZ0jvhAsUXKOaz4rosTsaGeHlH1dG6NZcV0TQTQUNc/KDPg1rHi+5bSsxdK60ogqLjv9M0d7FuwHLqxIv6Z+n1Vk6jW/EdLdzWHL4rJ6xRhFtcRfLXHBFXiJI4BRX9KnfMCgqnKLqFMlb3XJ1XvJF0jdpg/MZE51lxWPKRPuX2PRcoh8MBX//61/H1r38dAImxX//61/HNb34Tzjn8uT/35/AzP/Mz+If/8B/i3/7bf4s/9af+FN555x38sT/2xwAAP/zDP4w/9If+EP7sn/2z+Bf/4l/gn/2zf4af+qmfwp/8k38S77zzzve2M3bjK3zktV0Rjv4pU9jaNRYUWBZkolqNm0lbEEUS3NLK2HIiYaw20RI/Kyow+xVpyS3wl6laAihpq7lAGh7XCmVZ4qr0tfQFYWIBQx8RVCfT5tEvDrUOaO9dtYzvbrX/pw9LOPuaUulmRZcSUA3aHAuUqr7RLYxAbgXx4FACqncJEzBlgQJXnB94qcmW3QWdMZv9hN31GSgO7zy7R3sxwT8b8dXXPkCzmfGVm1t837MXuL484fdcfxNxN+Ptqwf8wMXHaHYz3uwe8bw/1tRd71ANwyR7fGe4xPG+x+Fug3/70duYPtrim4cbvDjsUJSoKrNHoxJgCPBaf0DoMqbHFh8d6Yh5Tg3ujxvIOdTBbNfOuOwoiT/PDdGEM30nkBxzTeDgQ8FNdwLEIY1cUYaRrZWcybHoQmL2jk7YEGiBQXVJ9AVoS1V5QCdXREHXpMr+tzZIHoKqK/xihmUr4+QwDA3GTF+fbZz4u8kTVVo9Dn5yVCAUTlanuUFz7+sE5LxoUcPXZ52MomPAYQiFq9ddws7UE1rQYXaYs6/tmiGT3wRZiI62ymT7gyvNpskkCHvBkBtKilXCydUyFTpwgn0cmdoMGq1xpV/QbWnFfpxbFvr6PaL8iXDyKInFXXNPZAPC9kMf5uqsmvW5b32uk9OamBtCWYoVVYMMUwM/sSj1sVR0AF5t6yMn0knPa2PF4EzZLY9XW2ttoaTbFy1QYr0PGp8RdomoSV4Iz25mAbHr16ZunFQN5Yo+c2LN/gkqIAAQ1OBMW2IAKkoUvCg/kwsWGuihXkvIQj52u4Tg2AIJu4W/YoiEU3fbNPMZtUKm9QlNKEux46losnEVQDVHa3yuZpiNp/QY0OHWl1qcASxg2u1MLsyq4IIw8NLp/0ctIo2jtCbj2rkKxgdaF/umuMok/qbCItg7QS4OYVRUU1WZ9lyU7J/EXrjCjBwAVCZqu93SzHkCsCQOJ/KSnLVkjNQ9o3pNlW7Zz0ovAHSuwJNCwRVUQQWsQNFC3OtYXzkotp8TKlJCV1xUPy6XtZ1TwMWC5orV9OdPucXf/CVPt3/5L/8lfv/v//31///8n//zAIA//af/NP723/7b+At/4S/geDziJ3/yJ3F3d4cf+7Efw8/93M+h7/v6nr/7d/8ufuqnfgp/4A/8AXjv8Sf+xJ/Az/7sz36vu4K8zQjWdhBguqbjaA1jUpgYQJURG4IwXVGum5wWGRkoFxnuMVYEo252w3uST2WbUTq/UtcApnhhjDhRjDB55ItCaPfEfqPxNdzoufrKQJg9sudFLlGAhsdTnVwLFlmzFjjJ4DcAU8uE0LzhitvIulbMuFm5Jw4V9cgbYYCisNjKuwKXOMmmnUqcT4HGaPsMdwyIrw1IH/com4LmcsR812P/+hHHvoe7bfGl127xn+eI168P2DcTvnHo8KWLWzwMHYapwZvdI/p+JrFOt+AKSnG4H3rcTjvk7PGrx+f49ftnOI0N/mX7Rbz4+AIfbY8Yc4QUql9ix8H2izev8O8emKZbikNOfL87RNyfec+ZfLvtZuSYcd2f8aG/YbGhkr0X4x7HQ4+LfqwrsMtuwAd9onxVEYU5k7Bp7qgAB6k+MsH11bjFOLSQo6IZo0cTMop3ODeFBYr2+c2/BABCU5BOsU7iuTgcpwYuq5FXLBA13pNWqtW5C2UhtCa6yALkVMiZk2EfOfnOZie+Rvl04pivCttUwonACrthIplROg7edcUOoBwjjnPHIgBENlxxtc0GgTrfAlmRLaeIkPcF2XPStBVljqmaelmraUwRecfz65zAHSMOiTkxIg5tzHAji4HhsYOL5QnC4nRS3MYJ6TIjdpk8lMh9sxXwkBu2hZ1wVT4QYZPZwysXwhC0ooZitp909OVzHbWocfo5EpfWmhQWUs7RGTcrUtR6knulEOnBOei97mnMBVQlEgDlKhX4jt9VwJVrEzKCnnvjvKQc4Nv56Upcrzm6gl03VQSOJ0xRCDiUY1ON/byTem8SaaMktvEZvsnIFiyqiEzJXpUwpSIxUdswgCJHTtEMt6BqdVwInPjnEoB2QVicA89XR3TUO0HUYiVPC/pliGHwLCg7lWIHX9A5ZmJ1nkRrgC3ehbvComutQDPlWVpJm9bI1pzZphsyrRJS4XOfN1JbV3CyPBsAg18L+TpUXGoB1LKoNpRdHCphtqosna43bQ4Spz5RTnkeim47faGiF7TWEeVFYpEcCzi/JQdkaHuHFILclwoGuCOjPmyeQ9KMMygCo/dr2dCQjtEznI9I1hW4+09fpHzPBcrv+32/DyLyX/y9cw4//dM/jZ/+6Z/+L77m2bNn+Ht/7+99r1/93ZuGqYkykEuf4ea4VIc1ME9X/GVpC5XtivNxJApSvCCeeYGLFglPD46E0XKpqpq1/4apcoKgxIL4GBAHh7wHkDxCDcgD0o42xrkT+FkTha33vrJkr6QksWpUjyEBZUd+SFH+SnMXUDoiOOYJU2/kghpFzu8Q5H5JabYsGoke4cgCRdqCcB+Ru4LYJ+RTwPXlCS9e9nB9xjvPHvDrjx3eunzEBwBOty2+cvESL087PN+c8Lw74r3tNd7oHnHRMb/lJp7QN+okaROxcLAf5ohjopz21bjF/eMGaYx4/+IK7qHB40RPBAjQ+YTYkJPxue0dvrF5Ha1ngSLZ4+WwQzzTv6OJua4AYmQ//bIdAM9JAgAQBA9zj3KOC8QvjmZnMSOJq31mAfvLZYU8ea+TUQCGFJHHAD+yfeEnv3BQgq5mPVftcw51YgiRybXLJKQTvU1qQarsVmLBrFCytUEADmopBzhtC7jJQxpBH9hum4sqcMQGYd0tR+a+HXsMuRrLmSLDjK1MVktliaIEjjeaWaWvjd7M1VWyrwZaBsdXWaYN0lrA8D0cwKcSIO1qghlctVwHgC5kFuzFA4OHv+K+P5E7KjrgNrxvsnARY7b1UKKkoSKN2ownIerp/IIuzCbFXiFbNilKVPluUUM4XbUXWYzViEJAs2m46InaritCLo0fiXoJsNiCr8d0vX6hyYvcNvD77LoWWWTaxjGyjynWyVPr99PcPDE3BJbray24dYswOMpfvZJTfRCkSSdeLXpFiDLadxOlyHqcjoh1I1UevDZlA7StBG2tRRJSjbzbuPLEBM7M56xdZu0rgAVJCFQ92fdEX+D1fLWB94O1pX4j47d1oWKGf4DFALgq34byYpzT1pAnP2NNCn8i/VcOGbmIIHlWVZiVH1lsXrCHVVRNahDWctqoJsUiD/e21/qa5IAicN4pYiKAtf51De4ALUo04HRS7xSNfPGD2u8Xh9yTTxJP2jbyQBhtkc0itqpqdYFfuvLJvNX/6vaZUPH8lzb/GCunxM1cMdST6QB/iCR3iqIpgSe/NKhtinCgRFY8KjnIQvVqH1CzcCB8r5wC/ElZzw7M0VE4i6QjRl/PF2wLuYmTfu4Xx0Tjg9REy5ktGz+SWBsfPA3fgMUDZGIvL2+kJlC6wmPJvSA+eG09kYQbzp6QmuN+VXnw7BlopgVTfmNC+50G/p0zxs/NyBcZb37uFcqmoLsZ8Pbze/ibCV+6ukX35glXVyd84eIWfsOk2+e7E+TZhGfNEV1MaD2lefPEjJbT3OB46vBy3uH2bo//8OpN/PL9a/j4o0v8q7svcPLKHnfTBpI9LpoRVxdnbC4GfPnyZZXqBV1tvX++wjwxxOybxxsM9x1JgV4go8fb2wekDZ0cyd4HXgx7HB97HE8dXo1s1zS+oGkyXCy4bNjWOY0tDnMLaQsOc4d5jMhDwEUzVF5DDBkyBX4OAK+rPWmExMg+KZzLAeo4tORPiFtyVYpXkiRwmFuuyhuSRt1jxJQi+iYBgWRaKQ5ukxYZoxN6KQjwMBMpanqSNUUnPSgqdz/1QJTaVigtCyU3+erW6hJbUs5xshlyA2kFXTOTC3CI6qdBb5aquFAUQY6R+9kVkkyh97STihIl7cVHNeKylpZErnKD53095Ib3e6uQ+yMlvaVwYHU66fUN97faeW8y8kSpqFtNlGvfl5x8NRRrQkZRQqIVoI3nxJeutT3hpSo5bHN+mZxN3dQ0uXI/bP0m4pZU7uIgo6eyJBP2D+bNBCJI8xDJ6dDdbdtEc0VILezMz4XHEp4gWsCCnACAU7O4XvOOuO+FhZIWMt44Kp6oSbVf9zSza31aWnIAXFwmcfJ5MnwotdUBsDiOem0an4FEF+FJ85D4EAlCl0lonlhk9THBR9rSA0tN5pxUg7RS6EnUtAnRkZg9TZHcrVi4IFHU7KIZsWsn7LoJ+0AOWioefZirz0kXU30uTNHj9DyPhQjrcWxraKKlf+fscU4NZPY4zw0Lj4mk8jJ7DKcW40w0ZU4qpU5s7bqZMmfjC6YpcJzODmUIy5xgRWNZ7iM40dDUlbWGSn+dIuuWuybmNqttmKq2mcgPKT3lxPCo7t7pMiN3Qut76zrofWpAgEtKQQAL6LShYqe2kbTgKRvBuhpxs0dzT/Ty026f7QJlWh5Gk+1SqaPVoFrvmvNelcWuZMZPop/LJwzN9PeVzJr5ALvZw2cs9sJWxRb7Tq0WW6n9udJw4HH6uXz9UulDWOE6RXl8wsJ2tlUFi9JKUlr2mzePT/rZZXmbUxlYtaIPPD+hT6r2EXS7CWF0uNif0e4YfPXG7gCJgk0341l/QtMmvNYdcbEdsOsmXDdnhFBo4x5nRPUNqD1cIVF1LA1S9sjJ45A75CHgMHQ4Tg0wal4JbEXJFXYbEjbNjBgKLuIAxLKEmgnh+KKZReQ9LKZN0BaQNIvxk/EjjJxqFuR1xeSw+BvoBAaHynkxB9F63ylEOqxkxACh0zbkKss03kLOCwelEkRXlzDbKtgrdJ/4e5O2Wg/cx6crPOdWSAuIEK0nPetfWw88aHuBq3pKDcV+L6vjUAmneCGa4NlXtt7+U6M1vTe1hQT1f7BrsZ4wBcuzYucjKYHTjK3svMNxZe6dVIREdD8XrwmDAvSvyBZngavPgAiemKqZwZ1dR9F2zbqwAFC5PXB4ch8tL1iOcX0P2M8qsbKsvnO1H/U+sm3dZtEthKU9YvdrVVqJq4TWJ/sDVO6coS+1oBBXC43azoA8ScS2zTuOl99lkLdCOOx8eCX4rt9vqIYVV7l84hyrGVp0qza8Xf8nXCWpLSA7flrUr8cZLUr1HrdnuvUJXUjoI8cmp63/6Eo9juoCq/ue6w3KEE4R5aFIQCkekyJo9m8IMOvzXT1gMi0HjMeSs6/EVSvMrRXmMv9tC00k/2Q+4b48naf82m7CXqPzjDRlMVezt+v5qFErypM0A9NqYiqo2Wl+xhN+oqEshsrXhHqgJtNTiry8rhYr2jI3pe0nTQH/a9tnukCpfh9YPZ9CNAFekC8yWeUnRQ8iWxsSVaLVc6UUT45S2rOvzOZwdkRcLEXSA+3HnLis5SLKfcFE2a6fyLAuUZD3Wc3fKN/ys0N77+FmWv5KIFxWHfii3hSZN+D4BvuXLjla88+E0cy8zY8e4T6yiPH8zPE1xl+77JCfz8gdi6TmnSPyRtC8eWbCZiP4/OuvEF8fEN8+4YvPb3H+0oTPX96j62bELuFz2zu4TcK2m3DZntE2CRdxQBsYntW4XFcUcwmYDy0eUo/D2OKj0wW+fbqC3Lf4xsPrOBxZhLx3vIE7kxwavCBcTvjy5Ut6HsSMK7XSnnLEeW7w8MEFvnW6BgpbQA+nnu935GOUMeB5f0S8mtSWmjf/x+Me8MA8R8zZI11wNRV7GjBdtCMQC4YUOTYK49whQIxq1pUc+RM6yJxSC+wScvF4HDrAg1waL8gqd/Wjx+NEfoSLhf1qB9xcnNA1M5B4bCYztTC5i27EessXWaWKAejYsrD2Q3AF/hzwOHTIyufYxJkcESWVShA8Tl1tE+7bES5wpdy1CRKl8k2cY0S9y2xjOZvsV0VA8IKyzUQ2NP3VO0E4uzrpmUmZO1Euumlpr35KbZXntmEJbBSdkL3jM5LSoiISIWm0aRMan5F3hbyfiUo2ypWZZjykCDeunGZVJWLFUU4BXm3XcaQENWVK7G3CtXwhjMw7SsUDR13mKfpDtGQxmSuzrx4eAGixr+cDs8c8afGa1DdkrSpKDsUKwsTiK8SMZjeTwHtY2gauK1i77QKAO0QiXIXE7j7MQGB7KOWg3joF6SIvHjRekHTCbTYzWp/gApEhuxbVIbjQYI8FJHlNRqw1HtS2mSFTQCqMDwiGoATBTXdCDOSWFdBR2GS3wfJsmoK2S1TCaXEz5YAyBW2jEeXZRCInmzBh001P0KmpRJzmFkll+7FN2LcTLuII5wWXccBlO2DbTOj9jGZDA8Ko98+svZDoiwYLUmXHHCTgMfW1fXtODeYp4n7cYBwbTOMitT6PLQvhLhMpVXQkpcDnKrFVK7pYcTpnGCoBXZj6s6+vQ/I0yywAlGxb20GORWiJgubeo/tIjTWTFsRqD+HPREbNKI1IPZWatL/38GrENl+p+OPA0EB41GBBlzzJvLrYnW8KrSqUCFuaBcU0UYc/xGrlgewQX0X4wSHty1NQ4DfZPtMFirVJrH+2Nglb+BcL07n+rn7A8v81u2D1mmrbbK+xfqBVk24JTmIsNhaUxipMQ1nqygGL0dp6f6z6tP1S0pS28Pl2t7xG/HK8YrkNbQE6TgKxo4OuNILdZoREQd/NdCr0bEW0XULfzbhsB8RN0odXJX4+Vdleo73tgFIJYxlceaaiiENxOBfCmqe5wUmVFKNCo2src5PQek8E5snmaAc+Jj5cpmCoW1nQDpM5AtAVDj9/bSLlHSv86DlYl+Lqe0Scmp2tbNZtBVaW/XkifYVyLLSXbSvsugIzNESW71kbP3FCWB8vi47aoxV+T5WH4ml/njwNRXd0srTzsV61iyiHSY3T6qp79dVmsx3cgi6KDoL1PrTPdcsK3Ov+rR+lqmopVrTIk/euj2MJi8NqfxdeDN1YUREu8WZ0Z9bhBSYjBZbVpZha7xObWz9Xn/zdJxCSig6t7MRL+cRnCpa20ZPxZCmU6nCzfq8jN+QJgmLHoC27Ndphx6wnbdkMmQKINGkLpv7MCq4gT547+71X/xvbszWi9ARhcVgKGCzXB1AUQtEq23c78OhNWu+piFqtmL3XZ1ERFP6Qfxnnys5H8OUTyKUihrIYtlmRaSF/jVdrAUeVTnRKsHWlojoW7GgxFqV+Jscbk8mbUSMABnfO2tbJREIMucx5Caq0ogSGlmTQQsDmjHqv4AnqJZ+Yic3gs0qB7U9BXRiLR/U5qZ+tKLu1YrB6vyuuJgsDK4REQP6L08+z21KwGKHa7tpYsUJu1vPSMp/iyT1bd++T6P9vsn22CxQluEInoaAhfX4ilOQPAc0rv/iHaLvGJQd/CgiP/JO2C8EHYFWbO61S1c4XoErIYLDaSj14mtwMDumaEdgVglPJcNKAvPF5xnxphEkg70tFZ8QL0kUhPyaBJFetYvOen+smh3Kl0uCbCfmCE9Pm+Rl5X+D7jMubE1wGNtsRm9dPiM8GvHv5AGkLrjYD3rg+AG3BdXuiT0iTcNOesN2O2MWpEjo7JZVl4SA0Z8aXPw4d7s89fUHOES+HHR6HDq7L+ObxBqe7De4eN7Q6H8lrKDNXXm9sHoGLGZf9gH2rHiKqzEkp4OWwg2sLHsYej6+21bzOjR5dzLjanYGg3hhdRrub8DD3yK863J63JI1CB1qVmW4aZvF4R27FfN8xOEwljtMYIUmVMg2nzlaTfo9zS4+FTSI5Lnm0IVeOhYcQUWgye8+6eijJQyavChWiP1OiU+mUA31jnNBDxCZfkLQ4FRZ70Rek7MmaX00M50T3265JyLOHnGPNVRmGBuc5orknv8XtErqbgX31E+Wzw7mFK/SIkU1GVNmnGGdGzc6iL3DCfR/mWF0wbdUefUHaiA7m+nOnXgdO2wZKFoWAVt8AIMBhavnzbjHvsq0WG4l9/tpCcoJ2My/Gisk/qTeiK5AzvU7WiENtNTipvj59O2N8XbkKmvhs+9aGjJSJevKLyfVIKv8NvqAkD4yUeptMNEYuBrwTuD6r5X7gytip0sRkxoXqkm0z046+WCoyX5u2LCppMsd7zs5/8AXSlUqchqgJnRa0MWS464lcJy8Yx0glTHGa2As1zUtw2trIinxcNCNcIIfIQ4C2VJSg7Wba52sbJYmvCxARh65N2MaZ6AHAaIPHhpP8LqNrmOjdtgn7MNLbqPjKHSlCwzSIw3VzYgp4JNJTMtUz56lZeCApoPUJ22bC9nLAO90dYiSa9Kw5IjapyrKjrjypDPKV6PoqbTGmiOPU4m7eYJgZ3XCeGDdwN25IBhWHu3MP3De4O/coA5+RxxOR4ZIZsOnOAcOxRXgkol7OEfHAaygNr7/zGlmiAg6jA+SNULjhWTiEo45latKZe1nQDMt5agXzXjBfFMyXOveoPDg+KAIjWAIEk85xifOaxosxxG8iMl86qW0aCYKgqlgGEPL1/swOAGyRbGCAoKqOipmhalE1a2CttCuqxafYPtMFCoCFsbxCSsSt0I6A6iBrChj29JbXmonOyl162ZzAkoYNblvC1NxSJQqWHIQgWFvlP6lUsSA/ViUXG3Q9FvtiwcLcbkoN/gt9IgmyobOlBKBvZ0hczI3EA13MaGJGrImhdKE06+jO57pKM4TErKHXK8ZcqNSYxohzaTFNEdNMQqQNimvOBoAatiWOA6oFX4XVRDvngDyz6IHuhyExVeURlX3vF3dHAFVZULJ+t9kliKvvh3+KbKz740VcRRmqBM9JJS/az2vP3lb3ZfU9xnXQ85XVjnpBO1aIgX3mJ28tvbcMUVh4OLaqRkUKTFlUhAZM9bwqPO7EVeltiajnsK6gsf4c3be4WsWuztVvhDSsQ+DWUk7zGgH0M/0SrveEIGeH71GNrsz9VsIKAZDl7zUB1DJyKgqhCICthouOkOv9LL/BcVSL809ICTzkCT/G2fGsERYs57WSSnUfjS9U/VKUI/HkW1b35n9pM5XPE4QERFOz3R/qwGu8jycBhPqMhSfngZ9lKhreE+T0FD1WlOW7c/EVxSLfo6x3sN5Ta2Syfpvdj3p/NY4E2jbmioZYa8WQROe4b21MFf2x+IekxVUWRdlUuszWFlHfNuYa5gkQOalqIRBdnZWZWaDKMFnaObmYazBlwlZ0D4kFUUqhtmZyVrpAdsy6yjpeCipqInGJUxEPps1rwV4mRYlWJNfvmnTsHm1QxRuGgNhYVxEVp0ioIZX1vlm9ThEOMeM2k3qrGM7p3GX7Y54oTxB9A/7ELfevoUA6b5kxm12KqkKdiQqXCJi8+dNun/kCJV9k9tPGpXAw+a94RS88qlWwud/R8AYoW3JR5quMvNfXKvJh5KFw8mgf1MskY2nfCKp0GA5o7nwNW3ITb2jxQHvv6+esI7Hjo0c4BpQNvxdCVMVYzm7LlXqzI8dAdgkXuwFoBJvNhHY3oWwKbrZn+C0llJtmhnSCfTdi087o2xkXcUS7natvAIQISS4eubBfbYPwmALSxNA7gAz0l8MO812Hj4Y9xocOw6HFy2EHtORxjENTB0fXFFxsR1xvBpSeK8HQFDg1fZOJff7HsYXcdrgdtyTRZUdr9yGgCRn9bkLoMrbKrwi+kBUP4GHqIbNHemxwmKlUiL6gqDFd6xMVMaFQkppdVYagUS+CxMG+6xIltBBg9BiHhvLjgGrRXiYmGyNzoMxCw7oh0XRtGhrMmbbVtedvAXVYpLp1Ew7KWTzcEKpyQIzXoK2zrqGvyGSDq36/bDO6kBHbDL9J1bfFJvR0Q7Ms50EVknDV5Z3Q1Mom1S6ji5ktKCsG4jJBPlnpNAvSM8+hFnnm61HzXZqlQKkBZ8Utk1ws2DcTc0jOnBykK7WltR6002w8EcqJeWK1QFW0wgruVDyjFAxCdvKkkPquIk3fI5nyYubVqLRVC6TWp4qQ8c1qDNawlTpl9uuLUJotbakco1b5M0vCMe+ZbZwA5TmNyQzYSpXQRp/hMiXhIQg9acIMt0tUXJUA32Xsm5GIwBSqysvk5uWsA0h2CEFRO0e5eYz0pTnnBnkKqibieMViA8sCRAMg+yYt7UOV5w8pIlxN2GtbOCUiV36TKi9le33GRTMgNhn7dlIrAI9zbmtLxK7PRTPizf0BzWZG72d6xeSAx7njc6FFxcVuwFvdPS63A97oH/F6f8BFP+LCD0+esRAKDrnDmJlpdZ83AIApBzxMPfLk8fGwx3FoMeoYN40N7oYNpolS4fszrQfGgfwT8cIWTnIMMDwTWSwzx30ukB3nkYbjbN7ST8oPHm7wcHcNTUSTQ1SUxDgoblrdr1GQ9gV5VxDOngaeCUs6vHYCTC7sz1qgOCItuX+aRi1tQbpKnJMUmZ4vc20XxZNDPDotMJwGBqqN/qQIkO5u6ake9RNFJdIQ1SsduXvxyAWEhRfGo2PXoStLGOyn3D7TBUq14FWJsYUjWcFgCh63csUzMo8lEJstr5ud2tODn6E3GLQAya0gt/bFUi9eCYBXNKa0C0Rtyhr7ztJIhdsAoKpxtFcMu0G7XJOLQywojaIlNlA3XGXEkBmeFhcnUu+Lmky5yk4HFs6Gsd6dhnhNU8B5bLma0lUV910nRZ2ozP1yyI2iRsuKHgAdL6EGSmGZoOz6FOvZllBXWMbjWFbt6vw5s1UAsFVi+5NtEg+riacxVMYQB6kr9DWCwbwTX+FI70QLmFxRF0osUdEQMSRA7wH7TED/cqjvodoEatSlSpnJVyQAQOVi2D5lcwDNWFAbVSOJX0/yC+mz3vejx2znw6zKBfCxVIRkPaF46GBZfC0kipDoaeqK+p6KUqyyP4p7wsmwTRr1+hDKj40zk8xLxhCDTAO9XHy998TMq/T6Wg6KyZARF4TAUAyvEmoryOo5shWhoPJ4TGYMJyhmqa+fYSToqgwDqh+HbYZC0bZeXyuLXwbsedF9C+qnYmiYg7YKPQsEETxRxVSuknKEACbkphKIgKoazDlgFi2kHJ7yicTBWWidPT+6/+YEXEML9ZqWojwiRTbWSqipRJrJRTq7PuFIaGEus0dwlKw/UREBdfxoQ2LxpOdXhIsPa2U1irqYChAOFR0q4nBIXV2MdCHBdRkXzYBNN6EJBVs/oY/0UzL0N4Pn53HuGeyZPY6pwym1GHPEY+rVNbnFYWLG1uPMn81zxGHskIaIxzMzoSrHRMcuC2Y0wmsN71uhCqIeJW70tKZQY054LCm/eq/6cWlRmtKyovCymI2aiKKE1XcKnnBJ/KT2F04Wu3ptyZA8q8+yPTeTr4tsC3ktUYNd7ZFIjos0kwQ73r8Sl4gWU4FCeMxUKkFtOlC/VyIqvUKCPFEH/WbbZ7pAMa5HULlxzZWJnMjMjj4MywXPexIbLWuGviOekdHTAnHlLXvwrjiUtiBvqcypBNpWamuIIX7UkLv6GSxyxIEcl04hv14JjYq0iFrKu5lmbv1+otPsJtH5dFew0WwYeMGuneBCQRPUmrnnakoSDcE2cUY8ar9ZT0fjCkQ4COfiER7Zh51PLcZjy+CwFVQsyeGQ2uoQep7ZJzblB6CkUZ0Eourt+5AQdEVehEWfhxDWVJdFp5Jh9r2XSdHC08KZlusijkodYYE5JfI2EJZY+NAvcfBFqPxYUqEXaNrFQhQhrSbNvlCJIFBVhRaHhVbtZiJmxEsLZDM/FrGiJ5Z6zNLTWdN5MPelTvxYJhMtdNIY6z1M0zWG83GH1efEAdIxCE3SIjONB6oinEM1pwJoF1/W7SfHVkPw6gipRQ2cZr6cNTdo1T4ysis/h8TElMKybzopeUclnHeaJTKGRXapbrYu6YSeHcpAdUx4VDVIWgoxl10lTldH1JaowlzCAvsr6XfdBuOztIwJLpBkbdJk71ksTjnSzr3NaHyBH1SirsfbqpmdTfxlwzaKj4WtRJ1sq0RV6Pdh5mxW9FjIXlD7/BKB00QPF1jxJXSWtcRhM8VLQ8SQmWDdx5mojlNfmEmdWX2GZBZcIg6hyZVzA0DfoyiTXvtdM8E5wZAj5jlQ7eUzmjapSobPDY0SPfqGrRMSzpeU4SJEAZqQsYnzkvOkmy02dnFCEzLmOZBYLw6PA4sFEWAXRjhdTF03J80gYgBimT1u5x2Gkajss+6E7X7Eu90rvLY9IfiCq3DCvh3R+7miv7NQBfbyuMVD2iAlj1fTBvdTj+PU4oPzBVLyuDv3eBhYoNydN0gpYBoj7g89/H3E6X7DhVHmAs4lyrnLxP5/HkNtzWONMjqpYXrNA7PcnCpvTDXqZ1cXqOHsFsFE1gJGUKkEorxJow0QnUCdn5yG1opTa/yu1FaLnzUcMDF01muoH8UcTpWgnN+kK9X7q1ynJ5b5EgvKSm6PoPsxkU5RWh6XMzdZHV/TtjyZf/OmVC8xiVK5np9m+0wXKKnngGVtnNwJixMvKBstIHpZSLIr8iqAGtZkbRppNBXSmM82iBonoLiqnnGT07AmqMwKiyTZxgsveqFpmpN7ZqcYwoOmUFYci6YBC5qGyaNe4XESGouiLJpsqtW8RcNbIqyAg0TaoE7clYC5guvzriwSy8hclXFsOGCD+zYVstZFHElj5jViVbxuRVA5KzZZjZooapkNviUCxBUaXztN8el5CoySL78B/CctJ+aUA+33xQGJ4WjshetKUFek/ExgnBsUWVofSHyInBPNjAmL6ylQCX5PlD0AXMOwQjcq0z9F+MnMrhy8F674rI0wr2BMj4V/IWoEpaFbHpS9B+OLaBvGzSzIikLG9TxkFhhpQwQtZ1ezYFxyCyqjK+ySFu4LkQdtW5mxmQImdpw2Ido9UX00PHOiGkUEDH43BYn3HKhoDickdyoKGV0hLyRS2ZH3SvBsCYNHzZtJWYuuzHu8qIS6CKXLlOoyZ8gmYRFXSZxdoMmXaF6SS3iiSqnn0BAtz+M1FIbFJpGBNrJFaAW7D0uxP5WA+cxAx22cgJYT5DizBbB24B1yA+kKrjcDjdwCiwQU1NwXyaocyXRMbUNWvokW8bK0bmyzQld0kqR7LVGTQUMrNyo9Hie6IxdNZI6xIGdDHHntGzX828UJvinIRVuinry04AuaJqm/EAvEqQR4LcjtHtmEGaIk1lI8YszVV+RqM+CyPaNrFrPBYWpwO+2UdE1+XOwSvrC5xWtXB7yxecR1c0bOHgGU0E8pYpAGcw44pA7H1GHKAR9NlwQXxOGD4QKleNwOO9wetzgOLd57uMH80GE4tzgeSG49Tw3yGCgZn2JFQCQRAckp1HYIRq+OqKgogJs0823w8KdQ0fPcE0nnAlhfY8OBFfqGoBsak0yQociDFSDagiH6gMVrxMaWgoUSkJ2iKYLckTybdst46kdHMm4rS9dAOL46y2oDVk7qigw1bFMh6ZznsKQby8Jd8RONKY2uUBqppqjLTnwiRuY32T7TBYpsMgmkWz7UpVuc7KTPKBHaG1taDi5rWJ8D++rNctPRYh74LknWqm3DRGRqy20Al8iLYRBelRZqC0kaFk6lZz/b9tE1XNm6IHCbzIybkOG6or1i3kDRLwVK8KXC7W1MavnMPBObbMuWqzIrWIClQCniIJus8kBCwGMJSHOoyAS8YFCXRBGHOalt+qplwQPX01ILFBYJcw66wtbVQuQAOikJFgDSHJcUai8LxN88NXwqcAzcUwg4ntwTiL+IAxrRYDcsmSVOME3hCTpgZkEA6M2QQx2s19JSe61tViyaz8U8hyX0qpC4N60s5CVxtWw2396XqnQRfaANqZBOr7kWKAAf9HnW4mm1H6K+IbLNlAYXD6+GcH5VoNS2UnacxMD7uCj5z0IgsbonTKrpPA3ScvG13+19YR6KK9rSQEUUvGNxabks8EDJih41em961P3kvvM5cI0V10RpUubxWqqunaN40hTppLH0imIUocrICdE7HwRITBH286odsxofLSeHvJZUfzcVontNyHTwVddRa5NUgmcJcCfyTPqQEPoM71ADGftAvoY5jaLLeNaf0DUJLmoWU6aKygFAIpepZA8ftMDxeFI8WxFQ23bq9VIt5Z3UNqilKpvPyTzGGuLYeuWgFK+8FyKLhrBtAm0IkpJG4Tn2BOX6bMJUDQjnHNC0abGQ9wW7ODK2IjUsfAzRc4Lr/ozrhgWKpQhPY4P7uUdsMhEdn9H3M77QvsS7+3uGhrYH5EyeTh9mjClgFqqqHtIGx0yX5o+ni0refXHeQ4rDw9DheOowDg1ePWwRHunWWw5sVU8TFXVI6u/i+TxjdvDKLTEumeXPkGRK5NON5D6GE8clBrtpjlkxNAOa4MvVQBj4GnGo840Zikqj5nh5QU4QpJp3VsWnLnBt8VwXxYlzW2nYZskX+WmBoplspS1LkKyZu1nbxYHtoqYs811kBIxPCwEWm1wLNkN2fMKSgaULFPqn6LPnwPPTrQa132T7TBcoULKSGwIVLidWq+HgEV80LDAU2nKZg7hERoJLU2rbxC6+G2laI9H6Z4DJpxZXPP1ug/TA3xUrdvQmF69Js3aGHW9y66lLWxBbRTmKq8mhrZLYUgromgTpCtEQ/W6bSNvASWpRYaz8NtQnY9aJwrwMCnQFr9Cs01TWpBLaQeV75KAE9VHQVXdTMGZmzEBXnxDub9Nkpv4KbcMBLIoM81Ew7sikckIsN7acI+YpPmkbzDMnfMtYEbAgyRud+BtOjEY+PKfmaXtiDAtqZNesEcg+Yc4B8dGzlQNUMy4E8n7MUh8A5a6Txqg3PMdtm5CuVKY6En1qI8/HmCMdK7MVRaoIUSUTAJQ9DeNMBWTuu9AVad4WBHWQdWu/Dae8huzqarFMAUkC8q6g28zkKNnxKiI0q7R1101sx6WFGzLNUcmeXhUqRBmCJ1mbCBmTV6PPlezsALgjCYjTQ0cZsE6kbTdjTgH+PiqXiShLFxg6adJUQItat0L4POokbiFvuRNMSXNPzLhMa2XvCDtXjCPQmK4aR+kCwAITi3EL7NZIvhZ+du9MKQIjEQeTOxdxle/lLieIKj5KXhYLAN2FreDexBnuFPE4dzXrhwZoRCWzOPhNwr4Z0bTkfEw51u8BgJKUu+UEbUxEn4zLos+m3WdNyNi0M0pXcM4NQiy4vDyjjzNcT6O9Ujzabq4qn8ZrsRv5numuwzxHXLfnOrFkPSdJODZ0MeG6P7OoVCM3EVrDdxcj3tw8YNtN8E6wDyOkONyet/jW6RoPKs2V4hGbjB/cfwTnBG92D3h3e0/1oSPKMkvAUBo0TcZ3pmuS48Xhl05v4e7c4z8/vIZfuXuO47nDv/7oXRxebTGMDT5+3KEMAaehRZk9yikSTQyAO7CAw+iRzbPECaq7uEl4HYAhsHA5B/I5Th5IJMOL44QftEhhGKtQBqyKSz9yzIADwmMgBURdV40akHupktzwaNEmiqaelgUKg2S5X9IVyoTPypXLDt2LUClD7b2Rbhm5UjqpcS7VN0WAvFP0dQgovbDwzku7iPxNjcTQLkTptRg6hwVN2RZk5bKYrLiq6fxqnmw/fWFi22e6QDFDHDezFeNntln8xB5ctQ8WLK0JtyokBIpxs1r1lmFg8qhPmCzVTd9XyXlO2zhBJyEtQvzaXh/GmVkMtJpmgW69L7qKJQohxaGJq1Xm+rgVSTHpZdAVodk8r+21K8SvxY0VOOQbcNJPspiuGRlszUfgDirJMhHxiLqfQclu9plmYPVENaHvL2CxOGsR44o5Ta6kzYo8iLkQgsWirXxr9b2WpiqPY32JXHJVUlkLu1gQO4aDhcHVFWpdPQRFA9arbsFSbCgXInqqOADebyX5WiiuDd3sGAFUYiUA+I5Q+5pECyfw6kmCpqhPhNNi09fXrI2rRLDYtDeFq1P1cOHJ532YVALdaSJwlXIXh5zJh6h8EZ344iqeXgTVbdUbyc9JDdRzo6EpvIdjZJBjGPW8ecDp/eqnhZxazdkcNKmWMuEqN/eKjMXFtO6TSWPGS1qblLWfUM/AL9wPI3vaMZjpFj8MKvXWfj2WAh2AhgYmNF1aoXL8ndn7TyVWP5PWJzhtJYo+T2ZMaNyfEDM6n6pfixGvTZ0kZeGGNUaIrTfAyvSvoIbfIQr3wxdc9CPakOGbot+p7SX9nGjGhIF8Hzd65OyeGCgWRYRm5RgFRTNEuU4moy/ise0nXMYBjV7vzrNgnnLAce7qsw+QjPt2ew/ngIsw4Fl7RAzLmDiVWHlEd/MGp7llC+d8wfbQcYuHY480R9w/7OhiPAeMAxVIKYUaVSEqgPCDX1oo2S2yXffJv6leQSKaYinya66jkwX9sEKkWh4Yeq6eWWHiG0StLKxNJOqz5URfA1SPEa/5b/zh6t63dvDs6sI1nmx+U36LyZh1buLnytMWvSG2aVmgo+j36DhgkupqZ69JyX7yy7nTguy75s1PzJPwyxj4abfvOc34/582aQuLCpUDW95M7rXtshFIlwGwl1hKgBtCrZbdOdZUYgnC9kHDCrhsM9yBwU7SSLX/La2u3vRimR1w2QvCY0C+zLUNVLKDU224C6x6gy/IQZT0RuSl7RLGM1EFawtU6aNNdrNjK0Mj3EU4Kc8zDbigPftUWN0nIWSelYyXE1euTchq9ESkZp4oKQx3kbr/FGoqp4wesmfxEB7ZtslXlKmOKTJMCpo1MSxoxNoBtGixZUZdLmtrKWbMGjhFgyud3HXVH2JBsc/ZLVwBqErIHQPmPrDVYMhJ4WrIkJigOTKAtsmSJz/i2mF8LeNZN+HxsFk4GYl98ybQylnEwUWBDKEOzrlols8YGFbWFyWisuidMlddbmYf340OXZNQpAH0HJUxYGpCXcl7J7VYWhuXhVAgLXkLbghwl1MlHwen9012OKcG4T6ivOGUxwGu3jfLxOdmmk0N5xZQroS0BV2XaGXfFxxVsi3iajpzUE+PMlDOWrIjHyHSNK0Wosnjce4BD2zbGV3MeLnd8Vwlh6J+E3lbKj8K2eEwd4BDNQh0mYUUNEvpfuohjeDZ7oRxisgzgyEx2qSdF/IpyHc6ppYkPSt6kuf3eMG2n0iOboQGXqt7E8Di4SGKhjig72buk7iKMvqGEnivHKA5BaAp2DcjOQ1ZvTW2GZfdgCFFTBPRFIDnKPqC+dTiMXU4PvZwTrCPI+AYRVCKQ2gLLiKD7o5ji3PH9kTnE0KbF57OjujKYQoIu4SLOCJq6rW5n161A/p2xqvbPR7e7HB+7HG+boguFYfLZoC7mdD3Mz4e9gibjJv2hIeux5QCW01BcJqpjOk2M15vH3GxHZALDdZy8fjG4xs4z019Zrf7EV+5fomvbF8gicf39x/iB97+SCMzErpmxnvDs2pt8Ivnd/D+4Qrv4wrBF5zPLf6n977CsW4O+MXyJs6PHZo+YR4ix9ItUeZyjHTUdlRv2TOHzBZFTXYX8Dl1fO5tPnHHACOnShSiJgD8qNyS5NjmECIT0yVo0GjIeUPeSekFyKjuq7lbIRjJoQAqBWYhVCJ5jEH5KgVaDKgiJ++5YHBA5b4YSbZsC4aGi/K0EbitHqeCQ0wx5nG7CbVwcAPN2bJXnzDjvzyGOtc56GuTQ94uzygKIB1jKpoD+TG5U0J8XxAfGEsRbx3mG23zCAm6s//0RcpnukCp6If1BoEaN12cIhrWmllBXFZFuuyehgOu+CcCLHa/eqGrZfGqr69gSeWb2M8tiG1tASxeFktw4xN4DdZStYitcHWXnx6urXy0IrVcENsqYqIDQxYWF0W8/q2vXa3wDTnxkwWy8fwU5W4s9ulcrbpmkTlWGXGhrNPMndbXx1CCTwauObdCl7T9Ifr78skqe1ko1JPCkK1l/wA8tTp3q8leFtt54xNJy966SVNt35wiUWsCr+2TUyO3UviALsZkqJB75a/YOZJlP1xxFUkRUzKt9l1MYeSwIGNKmER+ej4r2mG7qTE3Zk5Gl1SpBZtTjtIT23ZrLQFLC251jdYy04oi2eOk9y5gK6fl/rJQQluhwZ4dPZ9rFEDEQdb7UXit7DnJygNp1aOj3j+GTNnHuqJtQEXtHLAeB5NKgmNQJUxY9u0JWobl32YIF/yCOJjc2Hl+p52LatCmqEspXk3ViKTYOTGpbQ21syDE2cO1uVoCVBmxU26QQ822sXNpiiwA8KZSXKEydn/YZzGZGJDEcD179pvIhVDrE0LDlk8SooJBr03wWtAZd0r3zTgswQPbwLZOqoMeTdP6hgXTa80BF82I3s141p2QxGOQBt4Bd/MGSXjOPp4ucBjb6oxLi/lO7yOH4dQCY0BuChc0hoKtVvxwHNvo1Mp/12tt99FatqtSX0MdnOgxZlcDaCuqAFQzMwSV3q5QOJe1GNBJ2eYeOJByYACF3oNujTTo2A8FGwzMldUcZ/SDitp4cPF7YlFVmqfjsJmSliBwztWMLpcdBFxYYV7mMp/cIlawc2XnrvCPxUdYwbVMwKi0CfNUqedax6Hvmtj+K9tnu8UzeKpk+oxw9sgtq0mnlaxNHm5yCPehEpHiUcOXFKa2izVfFlZ/R4f2hZpjbTlZ5U2pkFp8XMikEgXpIlcyE3cMiAdXHVSxWbdyBP60DFKArvw9UZpZlSpOjZwk0dXR9Rk+auy78hOKkBjJfA9gSoqQbAqiy5imSD6LeJQhrHJiUAcoK3CcTnBurVMv9GbwXpCuF/a99cBtBZ2TXybnlqZNNqG3K4Ot4IgIeG1N+dFX07QYM1tIMy3m52NDu2hxCLdxed60zSFeUDQkrDqAZsfI89zAKd/H60ohKNHY9WpMFmk45bw8MXLLma0i65s6L0BHy+/2zuM4tBhOLWMQtL3UtExM9YNni644SFtwmlvkjRmZCWRHvoFrVJrsBGiEOR9TgJwJabumYN+P2HUTwm7WlSsnlvPc1PM+jQ1waLBrJpSGJlJTipCOn8mTwrgBCD10nANc8niceprEZc+wwLagjzNKcZBTrF4R2TwglMApyWMYmbUkG8pN0Rcg6/ckElcPKuWk5TrvKwBAs5KJbzQgcpMrj8EVVN8dEYd9yyDFMUekOUAa3Y+moIts12F29LR4pEz1ohmfPF80/Jt4P1uydF+IxERBbBM/cyIaOc5EMy/bM2KbMaVYIxmakCtfZMgN0mODNmTs+7EqhpwXpDmwpaY27uZB00d1dTYJ/Oyr+smHpYDZNVNF/+y7t92Mi2ZAGQNeTRuqicThqhmQR8p0xzkiRhJaTSm0iWzXFPGYUkDYJLzZPWB7fUb0tA/or0ZcxTPSFHE8t3h78wDnBS/GHV4NG+Ti8Fb7gNAWvLO/xxvbR5w+3uGfffwVPJ57vL49YusnXG0G/J9e+yV88eoWKQd8f/8BLvsBYyG5dSoBvzK+gdtxiw+Ol/h/vvghPJ46/NrDM/y7D9/G4dzhf33xDu5e7fB4t2UQ3zmSsF90TH1sEO8DykC014mDnCPCweuE6oBITgWKgx8ceRYNFkUnoGM2L5ofHJpXgei5Ki2NJgBxKC2q0nPe03q+tHTLjo8B/kyk3Z84hlnkSuWdCBEJb4RYQysm5Zk4UP6rCpylLaPIxOQRDxb+R65k2RYi/RPN0dKF1AgVGysBFgnVQmN2bAHJMsb5wVMmHPmZuROUfa4q1XD2agbn0b4K8LMqZgPRo/EN8sS8mqGiuMpJGV/LT3xP5qv8PRm1fbYRFNuM12FVXQakASeKmQNDNZdZ8Qs+iaBUy2A7f8ZTWf/bUBGriHXlBF211VWnW/1ZbdVcysuT1b8dh32X90xdrSv+4iBlMakCOHmsrcyBp+iDKVhMrsj3+GW1u/5+t9rV9Y9tpW58hMzjNW5B/X6/fLf5dfBQlsraK8eguo46WwXa8fgFtVl9pitsabCY8Sx01je5FYa65LCwwE9alMMxe8XpMZqlOYDqXwGok6jTCU5QQxNF/7NY7gcOjnaIxh1YrXbse+w9ZfV6s8+3fau/N16Jnm9rl629P7K4StCkFfrqWgELadQ+M6yQDds3WV+/hXhZr31+en/UfxriEb77PXX/8mrt41bBgqtrUvkTq/Oz/BLfFdJnx7a2i68GaroTn7THt+9Zk2BpUa+fqWZo34XaBVT59zoyYY1cmfmfLS4lu4rUOLcY5BWQ11LUJqCeo/VnqottEo5Xpo7JydfWRwy5KnaShIoyGeF5OU/LuQlONINHKkIRV7yX4AoSiJaYp0kIgk2YlusMSvYPDChb+Cla/ATPSIrGUSp84QeqqpxgVqevITe4TTuMOeLlvMNpbjGkiHvXo2SP09RgGFhwPYpTVY0sKdDFBiipE3q9VZxUpIQHrmO4Oa0aIvKJIY/vRV3h19W9W35eIjje6RfWYL7153zymfFY+HMCyPq96+90RCCsPeQAVFsZ+3wTauTV/wNLd8DQIofKAeFN8Yl987oz3r4YNfRP1u9fbUSRdH9N4QTQeM1rrIRAfcdQzzVfo3NifDrefC/oyfowPpMbg4cAfwjI+4K8JXfAgr7CwSPeRlaZAqItjmFcpSHnRBqp+TcWPigRmC/Ylw8nDkIGbbrZIT+fte8o1akPM3t0vicUMV8u9tXGy7AWTtmURcYIVNdNqOmTu6LaYkpEU1LxcI+Ux5kKR4C60kvCFW4TMoluZ4VwCwlsRfxirz1H+LNXqHhRD+We7y8zTXxalYe2Xar7l4uHOwdgokRXgmDORGJKr6FnyTGMTX9fg9syV4ouq9GZoIaeoSu6+rfQNG0l7RIVKlsSQMehQfdhRB8SsMlw2oP3g8bMC+A2mav7np9dhNe1D8QwfaCfgnF2fCCacppb+DMH6odTDwh5HGWigmLfjpiuldeixdrj1AGJQYdjDpCLhF0zobkkZ4C8BWDOnr4vI4mCOKujZsgIjwHbZkLsMtwmUQX0GHE4d3g495BXal/cFGDw2DQzXHI4DB0JyfuZapK+oFfuR81V0XvrfuxRLojydD0nl10zcrVYHKWpjkTUkngvXXYDDaBEA/cccEotXBBsupnIhlel0UCV0KhmaE0o1X22CC3onacKDFDPklBQzpHW8Ke10xoqmjFNEaeZmU/BF/QbsggtUmFKgfueHS7agTyEQu4IPCp6V8ZQ3VZTVhnyQ0R0jGEo2WS1UiW10hOdkeIoOwYqSVa0iEwS4ApNyASAf1CLeABdP6MNCTIYstEgTQG7OCrHy/MaqpV9v51QEvfDNyS7phSAxwan1MA3Gb1xd3SQ7/fjUvAlFj/BqxdRiTje92gCjRxdEHx4vsA0RlxsR2zDBBGHy3bARTtiniI+HC8RYsE7N/d4o32E94J3+ztcdQOOtxv8zx9/BVIcdmHCRRxw/dYj/uTb/wI/8Pxj9CHhtfiALiTc5y1v2Zjxb06fx925x/uHK3z99nP48OEC/+buXXz0sMfDqaedfPF4OGxQXnWQjzuMH25JvBaH+dzAbZKagGkB6oB0leA7XQxE4XN4TR6Kjfsm8S1bGo45WQih5qoqTVESLA016/lVD5J8kZE3hUi6I9LiRy5GDRnIm8KWTnbV5NMPXn+mbq6F+2WmaH42SwqgbDKjWnQOqnYIDgy9nfknb8oi5Gg5/7jRo3QF6VniwlZlz7k3vgiqbT4amo0Wm/Mix07pM9I1LTuMBOyPoRYbeUfUo+wyppuM+XligRSF527WoMFW1BJfIJuy5N0ZR0eUpDx++rLjM12gAFATNFZpTuhcJxHa0+NrnCWfOr6m8lRMs73ijkjQ0MC2LBX0J1bEdbNqWqtYU9+sK9Fqoa8VuqkK4JbWjmilClF2f1oKl2qF3kgtkmrmkH6NqQmyuOrdUOCqIuWp2mBRZ9hmXJglIXVZrdZVuU7oEqQiJ64sDH6EpfdcQ++ctpJsCQMeYw1+E51IdYVtq/K6mi6uFkJGXiytVL8VF1T15GlchvUKYuY+WOGSSqjOtzwwUS8R7ltVTQiPqbqCrlEELQK9mmlFzzRb71dBhsZRcKiW/UY0rUVucTXoUIKu6vUeiSpxXhRIK7TLKWLguZq2c2otAlOgrDenPALbslrMW5SBcwvitdieK7k5PkWh1goiQw+y+Lqai5pXxPuGu0dbe3Jugt5Hos8JdFUvQSqZl26ufkFnAB7vyhmZGTrObqd6zWshLb4iU3afmbPq09BCNY+bfVUJPUVIVKav9+xiMQ9eI3AV2azamPW81/tdTfOUYxR0FVtVSUrw9SukpiiCFqP6O6nV/RJEyULJr7k/jgVvF5l3c0wd1XZOs3zs+ulnzBIqorONE7yapTlPp+dX8xalOOzjSBn0fsJbu4da4HY+odE2ZRFKru8zEZIX8x6HuUPKHt8ZLjHOTNl+cdpiHBrcnjYYTi3SrFEb2SEPNEqrGWh6L8BaO1mfgeKWCJGRz3RlgxpyYtdgpQJ0s1+FvCoiYe0hh8pPNNGD+EU2a6i6vd8Jqp+W/ZsoDNRIbXG0psIUT7mOYBFQOTB5aQWtv/fJPaUohglCKkpjSLLug32GEV5p9OZqfhDPg+6zWm9YKwdqzS8B9VrYs1IP3Hgy2sqhSmmZl+znABa1rM6r/99sn/0CpS+QTa7SsTA6pB3dK8s2k0n8oCd+1bKRKJivWIRYtLV4dZ7dcFXvR08TuCi1GJFGSHTKukJUpnX1U5nZy3PqVRHPNHWTmURUm8zNnKpm8wDLpHiISrRjUTMXD38xw28VzTAvCgd4m7yTw6SukdJwZdu1DBBM4gEdhGMoizvieoJz9ESIDZUNfUh1v0Io8GdOMG6TNR4dNSgNAFyXaUzlNKlYi68knMi88iZcoarFe55fU3Q4T+t+aUs1AXMDlUeIbHfFJmN+plyYxJX9vh1ROsFVNyC0BTIxbLB5IOdmGBu45HA/9ZRQjuHJgG7qmYtm5CpBpbdhoOGUTbhZOMBdbQZs+hl+Rz6Av5jRdYmeKqqoMS8YFg7AtpnRNKkmSqPQ6v44tSibQmOrcwRmj4tmgATBtpsqgXfW4gpBc12i4Nn2TPRLHPoww3XkSgxTw8FJ4dcYeY5MqTCNdDw1xY73TJrlNTfoXjkfFzQhs7TWbeQ+zTloUCKLLLdN8H3GRTvU1VFQd9Ix8biKqXMSXUjNWyUVD7QFu05bChM9eGKf0HZKLm1Wyp+iSM45rEjQWCTuRXlc2dHjI/AcTXofNdomKYreldkDh6bep84xEdyiGcpEtVUXiLolIVfGe6E9fhBcdJN6iSxFVS24C6pMV7JHdBmuJZIZfEHcJGwC+SbO62JkDJhyxOV2gNskFlKT5/PpC1yki23wzLsxsva+GelPMgd8OFwgdpSdX8YznC+4bk+IsVBhlFvMc0D0Ge/2d9htRjxvjghBcH/u8Y3DG5iniDeaB7yzucePfP49/Mk3/gXevblHgcM2MA/n43SB49zh1bjFfzq9hZfHLb7x+AbeP1ximBp84+51nE8tTkOH2xcXSA8tbl9cwH/UYh4ihvsOMtAzx20Tx9me45FLitiODGW0gsXGv/CqoTOrtknivaouVaZrE2w8eMSjq4i7K+pfcvaaOUPrCT/Rsj0YH6PnGAVV0kCdXF2iJDge3YKQ5MXKHV4XuI48lqKxKLnTyV0D9Gz/wpGKFwuNlY5IiaH6AFEQCVITiOE4D9ncFx8ozZeLVA1Lw+CqO3o4U4nJQFvAnzTeZWTIrR88z6Uq+qRVS3pFk7gTLIjc6Ov1kE1e6A+e54noFyB7hm1aG6i2zvynL1Y+2xyUAkpdFbIyMxs/U8aFlRU9gArrUbcui07cgy6hjVPYyyF3riY5uoktjKKyKkQSWkVDkcRLlcdWFjkIR+aWrShMui/F8bUraWPdNyyqBRqVuUUFBK4Qp0IexjBHdSclF0KioORFH2GeJ+Z/Yj+b1YjNUJXKjdhmzcB5ulsWQCZhCSoDQPJp0v67IhEMg6O0eXacpC3Jt8y+8jysbVB6knkxeYQ9URA3L34mYtLkwS8eLc5CC6FS61Cr86KTeOMzcse2QAkOk7bOJNLG/Tw3gBF0V3wGBCIXMRYM8anTqHmJzMVjTkED6ALKoUHZTLp6V7WJl7rahhO2f8TV8DuJgtjmOumaMZxTgq8lB89TrIUjwCIw+rKQqYNAMidscq2472509Vql5IkoqDuscwAcFiMwRcAkKVFYt+qTEVQ9Y1EH2Twx+FyYYV/R33vNTSqFz0wXUx2QnnClMovWNuSaLC3KlTHEoaiqScwoTxzMjweqQGljWrhnXuo9sy78K4egsCCzQtm4H6XPFb2rKNGKczVNSzqwJU+v+Rl2XBXZXHGDnJgfke6Ko9+NKWsAKl0sZPI4t4CQTNusTdnAotG4KZ3PFVU8K8F7E2aSyiOPJ+l+zxKQU8Dr7QE3+xOGOeKYO5RM6fghdPAOeK05YL8Z0caEL2xf4Ve2z6kAFGb/POQeY4o4pBYeewwp4r3hGR6mDlMK+GZzg4fDBh/EjNNIhOTx3FNWbyv0oKhPo/8/85pKVE+aRighV0TZkGxppI71VmyXlpMv2wyuTuZOI03UIxBZ5wYadgLiXeVd+MlBGkMm3IJ8TMov0nHOFXBfAUhDrkgYDG0AJ2udhMnd0nG140RfIirJFhlIO84LvFeWRa7NHWaDXz87AFAumiuOhZvoveaXew9qcWA5ceaQXsKC5lRjUvNvsfOvkmcU1GKuck8KmNDsWEBBz6c4X1VB0HNlKAuGUJ1qbXHvlnXvp9o+0wiKy9RVu7RAXbmX2reLRw012ihsphfX60NRT6wXxKPXPqAstsWB6ErzoMVFXxDPtDj2o8KDkZbu3vT2ZckmkOzYv+uoMgKAkj/Rg/MLDC1KjJXAwSVn/yQIzVoebnIYpqambk6ZHgyl6KQLa1XwTyqLc+YwNUtLS+FRD0FzOXLw+wSLzGSG0pSq0jCbeZ+01RM4IafCqjwl5VwIiKoUBxk5UbrCCaYJGX4364Sr/iMa4maFktNgxXhUPxflqJwTJ9JSmJJqbSFJHi4U9CGh7DONyyJ9MjyE1utNxmHoEE7k0ThAJwENuPKCfT+i9HQCNXadTYrDTNdbzOQyNK8Cr5OOeJs4V+6RtWOGqanFFQ9IsNmO2DUMgYyOCiN/Ytqq6zJycZgHoh2t+k+0mxmbZkY4Me7ea2vnnBo6XDpBFzPCsGQ2JUXVaMSlhnJBHU0BZJMPz76eV2BpUXQhE+06e7aFsmMsQooIZ68KIQ5GRcj/GudI9G9LdUxdPa3uLckOsaFVuhupLsminDBh0nJKnpP8mUha1hDHAnpapBTQN+mJEZTTbBw6zmq7prYMHD1fRHNIQKSn2U3wEPgm16Rdp60VZId5pMuxyczXrsBwi+1/JYrPLO+iab8BGFOzcUR1DFUBWPjHUOBDwWli8X3VnIkeaesVAgwpavqv4DKe6ZMSM06JuTlXzRlXDXN/ossQ5Tqdc4syBXypf4kvX96iCQWH1KIk+tDczxs4J3ineYU394+46c/4Xftfx+sXB8wSMAsL59u8x3lu8DBt8MFwgdPY4huHN/Bw6vF42ODXX92gvOrw8m6Ps7ZwTo8dFTRHopGuI4IoXaEJmhqnSVtYBHeFKknh9UJHG35plQ8oqL4eFrzqR3qAlI73mdfHtvRFPa0KyqZwzLYiRe/JMCo64nX9GhU0OHolsKo6Jbsab5HXaEfQpHotrswzy42cW9KG80mwgD11gZ2viWRLyxw2J6CqKGnrvCuLFNlLfYZsxo4HjVrJrmb2OFFkxPZzx2e9dIJyqa7lQRfoHZHF0pmzugC9IuWDrwVXlT4XV20LXE+OltPgQbNAIHEWlUcTHwPVQfbcN+UpafZTbJ/pAsV6XV4lw6UvT0x0JLAS9YPCe+p2Z4hKHS+Lq/IzJw7z5dJTKy0lZWaXnzuplvlGZrJgJ3M59ZquLLNn/3ImOSqMlORa/zEnOjfOM8ml8MCUAi2OoTC5ZxBZOUXggfLNcPbVF0EmDt7uFNjLVTh+KgHnY4ecQu2/VxMqG0gBGsjByLTLjWTk1iyOk1pUcqm2uvqYkDeCvkl13m3URM44GITWQ33PaW6Qt2wPjXODMpAkCQecDh3m4pcQN11p7ZoJ83XGtpsp74RO6HrnnqYG7hxwMJMxy0CZOVHas2BoRZoDLjZDNc1zOskPuVHHWv1MhfihA0QTMlwB+oYp02YtnjdSPSEA4H7qkR7aJWU4O5X38v5qddIqaqDlZg23iwV5p6nIar3fbBY3TwTBPNFaPl3xdVkTnjdxri3FlD2cKFFUM3/GHICRLboQF56IP7OASdlXRAEAXCxLiJ+iLmWbWdANyl0ItOTntZDKQUo78kmcQ/V1cbHQ2l/vr0lj7MdDV/OX2kgFSOnVtj7T3M2MBbuwuODy2QT6Vi3bBcu+r9o+5pJaJc5KCI7e0DstFOZQpbwAizKqpwrQFPTbSWX1BRftwKJ/ipXvtW3m2rp7GPvKVdrHCdIVvDpREhzaQnJqcRjHiHFsIOKw9Uz/jZFFtT1Q3glik3DVnOG3Cdtmxv28QewSbpoTdv2E6dzg1+9vyMkQh8fUoQkZv+XiQ2yen3GcW7Z7+oT7vMHtuEURhx/cfYSr6xO+/+IF3ugecdGxYE1qRHibd5hywIfzJT48X+Kj4x6/dHoLp7HBi/MO33y4wemhx3t31xjOLebHFg8f7xl0mDzKoYGc1clVyZIAqM4RVxd01QRTuQtOOSY1F22wFou2fdUkzCW2EsJEVCBtpRY1paEM1g9+aTnoeF/UTAzG79sskt7SEC3OOubDsXjJGz4LeV+W/BzNtXHZ1WR726xYAIhW5JYKrdKWWgxZ7hccW9mlI8ruR3V1HldcEQFQgPAQqo1+1hBcN/raCmLgHxiea0iOFQyD51y2I6EXHiTMGplWiz4ozw9WrGnBBAByYrtNFL2xroK5zLq0FEdOKBqxCACoBYQ/+6cO7b/J9pkuUJz+x5nlb5dJ+hFAtFozS2CJpcJQFf41ZY2gatUBDsYmJSuttnaSo+14VxaTHmE/0lpFMLKurs6QloqfrrNatCQ+jCVr+uTsK/lrngOrbZtMPNsk1MF7THOsgU0iAGYWAX5Q46VMZUEuHnKKFXqHXy/mZFWgLG6vZqleB3QlT3o9NjpvAvAsViqED8A5bQEFaI++AIUKFpOXTYkujyK0u3cT+QjiBeUUkXKgcZ0jtC1CRUe4nLBrJ/I4xFoiPNfjHBFGIhtGODsnFhuViCiLbFOSx2U7QhqSZJ2DTuJEB0rxmGcmzpoqxciGECpDWlXKtJ7nQATVNOs4tbqq0PO78oIhCVaVJYp8+dkx4ygWQCdNg7C7ToPYXGEhOQUWCVsWhaKktj7MWOemQFB5K84BSTOUvJPKDfFOOLhb6806joqIRcc49qzFl9tkZFEeVXFofFGlVK6mbEUcymYJ1lubrtVYB0G1sq88EiU5N6HUYEgWKK6iS9WobfXwd02qxN76navXRMdCzodF8puyeuJEGrZBHMpMR2IrqIJnEWfFza5ngYIo1WOFbSe2CLuQ6vk6Tg1cYMG18RN8n3AeGrYxY0bnNExwDsgj25+9ZzsnhoJOyd5GbI6x4DIOaHu69x7mDm2bcRXO2LUTZAh4eKRqpgiDB4MXfF//Ed64PGBIEQ9jj7abccotDlMHEYcvdx/j7csHfGXzMd5oH7FrJmR4jQLwuE9bzDngdtrhbtzg4dTj/dMVxrHB49Dh7nEDHCIeHjcoQ4A/BsRXkatozatxo9eWuqstG0Ng/bRMnj45fJJoamOpH71mwrh6T7G44NjpZo5HZaPE+QINqdPok4Il4A7L+O10XM6bVaSDjunSCtENBy5GVUwh27QswJIuaguqE/lCbF3+zTA//bkiJPTdQn0NuSIFbvYaFKitpzVRtTg05vPiuRg23gzJq6uCRIsO2LzUKJ+yIV/TMnHcJtN1F6hzknjOeRx45AnxOJy0eBo4X9Ww3ZXCtZ5rgSJENqnq70e3+IV9iu0zXaCUrQ72vZDXkXyNmTbGN5xWxgMrd8vqQRCEwSMMDrkn7JYutddvPdCCpXUD6y2y/+gnVyOw4YDupQ66s0KNShiqMFkUjM85OdT+ooYcyhTqzTWfG6qIisN4JCowz6yccy/MTtmzkEkDIfnTSCmm84JpjkAmHIwCuIOabqmBVppZzBzV+luK46B13+Jx7iqMnoToTimUZlbJ6Daj29Fy3Z+9JvHyid/FCaUvyBODDv3ocdmPtZ9vK+BcPFtds+OKMwpcR9motIX7k7n6v582yMcGc/EktIoqXbJDaDIutwNKFOzamZblhfJgaN8/Jdo2vxx2MFvzF6ctdL7CdGxRzpHW7RvC7/vNiLIp2DVTVTVNJUA6klTPI4moj3MPRCowGlWh3PRn5H2G64kIuNHh/tyz8HzR4tW4rRyTKVHK18dEee/oKxqSlXPjZkpPzSlzNrKlL/Dq6mtkXJvUXNZAPC/wIaONqXrOmAKlCGPZ4yaxRaUET2ekNhAuNg8XQ4SkIYdiVr5R1DZE6BYzwloY2spLyaddTJWo6roMXMwVlZkUDcK8FCU+CI6ppWwe2hJZLyLsu9qCXZjQdAnOC4ZE6fHj3DOCwAluuhNccRjHBh8+XMAfyOcIMSP0RCd8LLVF6tqCN/oDnCOC+fFpB99mXMQBNxcn+D7jP330BuCBy3ZQpCcjeEG7nbBvJ2zCjO1+xMVuANqCbT+h8QlZU7bdKaJpSYJtQsZFP+K6O8M1BWOOao8fcBNP2G9GfOfxAu8/XDKFGLxH9m8c8WNf+WX4NuPf3L6Dj887DHPEbd7hNDf44uUr/NabD+Ac8G73Cu/s77HvRiKjTnCfN/hgvMLL8xa/NLyFw9zicezwHx7ewsORgXzvfXSD8+0Gv353gzIFPN5vkMZImF+RUmkEaZ/JYRh8baHDsyjwo2fhLkQMcs8i0Y9c2Vd1igMXIQ9BF5ocK+NZkQcnSxESgbSnsIE3rPIqWvK0SqfS1wid7EmMNSMzaQTxgQu62pYPqPwKl80kTcf0WY/BKbejZZHvpuX9Li0FVDgs4X+lkxoGaHJkN+tYe0mSujQFaVtQNlIRmLwrbNU4wbxTxCauWkF9QbxjAGK6IDprhSEAGpQq4uFHjjE0r/OQQfkD2r5yk6ecOooaunH/qruu8iulpdmoG71Kk13laabdqghrCjlhhXQIlx3yxfdQneAzXqBYsqoRZGvfzKo2gBNRQM1hsIBBgL24GmMdQBKQ2E2GelL5YtSfwekNJKz2xQF+RF0tWEAUI7NlqXq3WjjZw2s5Qmsp6+Rr4SBGrFX+gjQCKezT5uzrpGGDKhw5BVAyrFPS4qxW9Ekj3H1y1c0TAq7gBw0108kkqdRWxFVJKQD4ptTV8BJpz4+KngofKQ4xcKXSBca+w0s1PtOvBQoqTO5iqQThZBb+DtVplvHzq/OkSopeSZJNUNRLlLhpBEZ9j50jH4R5NdbOmoh2RFcqf6GLqcpc15brokTTnLhyTsox8fXYNJCvK3Aa/Mfz7imzHalqMXTIOBmt10wYayto8ZSzcnZUYUJpuq+Sb+fkiZGbyYWdLGZz3qtNlFs9E25ZMcYmqwxcSZ2r1/ml5liKjShVVm2BenAshGrC7vptWK3AdOkanMBHUYVZqFwmb4ims8mKjrh18rB5COSaZI0LcMqPsuwlO69jilSbAdiFCaJk7mkKNc+IpOjM+9Rzf4s4uFCwC2NV1gxTA+cpr923E0IozM9yKvl1AqdFXtPw84Ir6JvENmikl0+ALI6oGVVeHVzBppnJDXL0MZn1ed2GEV1MdLSdIxyIlmRxuNoM+O37b8N7wWFs6SQsDnPh36+1R7zZPgAALvyZGT2+VAO1U27xkDoMc8QH4yWGOeI8NfjodIF5jPQpObCNejy3kETXVjHCqz7HtghbyJP6kGtL2WWoLJerbI658oQPsr49DYWWICrlxZNNvGZ9dSvbBLcURa6wRbGoXhbURGzeCKiUgDourY5pzQupXAxrzVixlJeCA8CTsbxS+hw/11Ajfp9DNZxrS93vmg1nH2LnVQu9yvew89AQmXcZlYe5bsuYbNoJKpcG0LmvznM8X6YUtPNYjesE1ZTNCc+92WfYvjh9rxWU9vw+segQaDbep98+0wWKzL6mD9MgRm8wLRTKtqiUihVw1KyCvMuIr+JiI6wkreZlJF9Fe2pI/AwjIS3ufAxlKjvCsdIVoiN2Mzb8mStAfBXR3LGK9SdGV7sMhbx0ght85bRUbfzs4Y8kxM6HVgOwgHTmgJ3PipCIwzRGQoLnwJVNUzBMDSQW5L2SQo8ex2OPPNKq+GHoYCSch1OP0nHliYcGZQxEMRpOWMO5hT+xHZPHgNOxo3xUuBJPc1hUK8ljczkwWHBHwmrsZ8RNwmU7wg2e5NUmo2wLnm1OtKK3YL+yGGyJtacccDh3GM/khnxwuABAdOT+3EM8JzIZl8JB2oULEe4iv6cp8CHj+e7EVZoTDg7bhKkE+IbtifPM1s7tecsJXttg1WYfvBduulOdeAByOsZEmLuo9XjZqseFL5jeSNg0M3vz4rDrJkgkh0SKg+wSPS9UjpxTQNnoqn72aLaKXGlwYylchXtoC0aRi2o4VdzSettmtJ4ch7BPbJnoJBAjz/eYGUsftABNF7w+rRZsjc+QXUIIRBWkWRw2vV+It6ZIQSw4zB1kDEsBMntcdgM22xE5eXzn8RL5KuFqM3D/u4x3t/cIPU0Db49blJuZstpQEK8mfOniJUSA21c73D7usLsY4MFC4/XrA77/+gVwOeMwtjieO7TdjMt4RvfaGa8/e8TnX7tDfj5TASbAppvxlf0LlOTwOHb49ssrlORxFc/o+gnTGHEaWuQTybJzDohNxttv3KHZkAcz5QBRQ8bJ+Cm6naeGdvoxIcOh2cz40lsv8fwrrwAAh9xjLgFjini7v4ecA/7Vtz+P09guCp4U8cOvf4j//t1fR/AFX3/8HG4fd/BO8OF8CecLfuydX8HvfuM9vH31gK90H+Hzl6+wiyMKHM7HFr86voGPhz0+fNzjl4a38OK0w396fBO/ePsmDqce//72bbx6tcfx1OHb7z+D3Le4e7WrJM35rqeXxsSiEOeAPCwSeKekXNmoP9DkqkRYoiLZ1qpxAJJfkAdbNCofJV3npeUSaJwpuoq3XBvpCiff5Bb1pADNq4DSM1qidAXNA59d8UI+SXFIl+ox02EpTnraUliESd5xPPLJVcQ870tt7TSvInkaWjS42mIi6jFf5+q1BQB5axJepQloRAQN11SqrPyz9CxxAXgIlBMrUmH7gcsE7BLQZUxvJJQGRED6svIvIeoukUhSOC/cydLrouZEBWjaCuQiIdxFNB9HlI77D4DtM0f+TulZTOXLRDn0Q9TrK/AatIjLxOukfCNE8rfKlhL5vPn0KMpnukBZ5FdANenSGwVg1efKckPXSk77m+JX5Ca3SKCsn1hZ1HYD++W1UHMqqxRrn9F+72RZRegfQ1105/j/blkdVJt9h6VQAdhLXP8bUAk1f56Thxn30CKaZFDTsJuiJpuxkVBZggJI9pgnqkWGmTwMaOaLrdhL5r5SLULOzOIky+IExVHlAa4KbbKkY62H00lrTcY0bgF0RWktiopcCJ5YqdvKeG38JopI1dfZ6kKRA0MEost1BW6y3rz6nFn5BAA5GwB/Xy371/um19iIpCbFhmCxmBeVWFfSpoNrGTrnMttPtMVf1B6V+xOktiYQF8dh77myqqje+n5SOapzUsl+0JbO2rwPwIJ2OKIhZuBlbscASbZmRkdVC92FfVO08OMXm3OqUwQGwkA+8x+pJoLZVyv1Psyq1FIkSHvecyYh15QqcDy3JssFgKZN/P0nrs1D6pBSQHCC6+ZMZZm4J6hb02Ts2gkXzQjfZoyFhVMMNDOTwrYbyccq/1WEQwQkKqJUsvm2oWJrHeeQVFa/3oJycGjExhbBVXvG67sDAODVvMWYIrIwpRhBi08rTkqDlD0D97qDKpH8cg/pvfFW+4DnzRGNzwzpCyQmD6WBFIeH1ON+6jFNEbfTDuepwd2wwVlVZnenDWQMtd3oZqIltoJ2s6stjIo0Z6eosj4+fjUuCiohVRyeBKfWTRd11lK3RHpThFQjtcYGZCzmaPYsiCICgup19aRlpM/fWgVj+7hGX2CLUKfH5j5xIYFqEkc0Znk/kXQdgzyqU2tF0PGJ76r7hfrMQbAgMaZ2qc+3zR86F6j61HkusuBlQS5W57aqQAXLM2XqVaC2b6AWDK5eAyxWGF5WnQQ1ZrO2fVp9vo2/ti/r/a/7JJWz8mm2z3aBkh3KnjJSFAenUdXQwsIPjLHO1wlucshaLbsuI7818qZqpVayaSfIl/y8cFJUIxaEgcob6dUArhWd6BdjHlbpWFjahYTB9CzRGrijFX9FYwLDpqAQYbxfpMCl0yr3KnEFPnoaGc2OrriNIByUoT45yEOL+XVyFxoNOUwP9FNAdphe9sgbgb+LrMYDcPp4B38OcHcN5kdOMo8f7asRz8uXexYyhxZlpJHQ+7dXPMezx8OxR77IeHXcEO6dPT48XAC6grx72CIcPG7PW+SXHdIYcT8S7eAk4IFZ01m7grZN6NuZFvEhIbYZrim47Ab4s8fN/oR+O0FiwRevbuH6jLZNeG1/hLQF1/0ZfkMSbRto25w1qVXeHnCcO7hjRMkBr04bSBC8uN8DYwBetXh53KIkj3GO1Stm28zIjxzcL7uB94UvuNif2cd1AjmqORqAsldvCpW7Po4t/OAxDg3mEyPvC5wqHQKLs/1cizSZPFs82rLabkd4tVyHo89NKR75Imtmjwf2CdFTddI1CV3MKLvM87ZNyCng7rSBv4+4O29wOPacfH1Gvsy42Iy42Z4R9gkX7QgXC+ZDi19/+QwowHFm2yC2Ge9s7+G94GIzEIVKDr96+4zHVdg2dNnhcxd3eOPiAHcKuGwHuORwfujxrdtruF3CVTPQEK2f8SNvvIemS3j/9gp39zvIQFlrmQIuLs/4kbffQxkifvXuOQDap6fCuIU3X7/H973+AodDj//5V74P47f2+PDuAp2fUY4RV5sBbZsxnFp8PF1gHBpctWciXw745fvX6lDSOPrXnIYWIRRsLgZk8dh2EzabiW3NdgnfS4mIh0mQr7sz0AhevrhAWPmpFAF+6NlHeOvqESIOL+Y90tCgDwlf2t/Ce8H/++Mv4MPbS8w5oPczPv/5l/gff+h/wbtX9yji8IvHt3A8dbife9zNG1z2A37/zS/i7ZsHPO+P+L7+I7RtQoHDqbT44PEC783P8DD3+M5whfdON2j6hF8+vI73PnqG8djiP756E4fHHu+/vMI4NMiniNP7e7izthNbjlXxLpBvkGmh3jx6roiHoBO6otfZkRd0oTES6s+BDEqEz4slQ2m1ReAE6SotqPdMWwWJRJ6ZNYNqTy9e0YxBDdUegyo4Ua3i81XC/CbHQkN0pjdT5RVakJ+1bvJKLuzOvrZQNt8hN0paynBLpx47is7zvTyW0imtQOcCFADWyijuiT9Kc8+Wdd4VxNtIxMS4H0Y3KAAmRq6Uq0TjulhIprXC5b4hh3H2+lqp84+pVY2H4s+0fxjfyPX/K4k301pDYqHI4ipjep2REUi+UhCae1oIuCEAfYEbAmNhAufQePQoO00Jf1S7Ao0gcCP5as2dqrrC/0YKlMr8dlJ79K6sfmaVrF8Ma+CJGoh5jKxX6IaWWOW8qnINhbHVAlQTXk2o1giKQHt4K+TDL59XibN+9b1WVWtV78TVz64FtlXpq+/xJg+rXBf9XdE3iq5wgtTqXNS0h4x5qfwCWK/VC2TS0ltZ8/BAsp8J6AXi9W/93OPQwuTTaWTy5v2550M6BNwdqDagTwbZ+bdnElZTCorqOLwaNnXFfDdsIAF1lVcJr0ITsvuBuTl3w6aelrthQ+fcTPdcUWWPbZUIadfPKWIBdc3V1YmZmTmHGvIW1XnVtaX+zKsMGYHv8Z4EzzZSdk011nKf2X0wZt40d9Omrj4smTpYO6k48mxaerhYu6XalqtEmg6qnoRmQ6YUgWhVaRVDRohUHY1ZfWqmhq0941IoMti3M9BIPcacPW6nbTVPa3yGNORY+PD0nnw1EhGQyGA5acnJMQXR/dxXPxFTV8WYESKXwY9zDxHub+uZHNzGVPkaHwxs8W2bmbk9xTF+QI93Fk6eW00EluxxP/e1zRQdz8FpJPm4Wvzr5hUBCo4xAaL3gAtS4wukkNtVZjoTewh8m6s0vIjDKbdIOeCyGZjrJEQx1qhdSoGclkjF0VAaFHFonKqmvFrV6/3Z+YTGZ+w8fXRMKi36fcfUIRWPV2mH49zibtrg5bBDyR4vzjsUVWs8DB3KGJCHyOfaWjdJuW+2slZEwhDd6sZdlTluGT+KkqmND7hezdvt4XXcE6ftDShyou0RbdkburxGF8yC3czLKm8jGNqi+2nj7idW8eYBwn1FHbfWq3zjBvJ/ZPm97YuiPRzDUVEX0TmI/AxPJZ6hQYLKkfwuROE3QBOsAOJNshBea5BgHeNdRdJNZFE/dvIVGQFQOT91n2yurF0BcJ/1+qznrip5NnRlxbMR5eI8see3uWe9T05/nn6Dm+K/sn2mCxQ/a5WsDG3pqDM3wk7ZZcg28yJeJlrf9wXuMSJ+1PB3Dqxio1S3wuqLoida9LPgpJ5g+f+Q92+/9izZWSj4jYjIzHlbt99v37erXOUbNg0GfMAIWi0ZnW6pLTW8NEJCQvDIE0jmxfIDkuHFlpAQDyD+Aks8IYTU/dBGTYvTjZGO2ypzELiwXZddtWtffte15jUzI2L0w7hErl1ue5fUSL05U9r6rb3WnDkzIyMjxvjG931jIxsS9RL5zk905uuGHy5iYhMPkoHY3ygTeFuAoQJDkfba24q8KxKhGyyoC4no7MVoiNfyOWFM64Z61qBijOBUMT/JXjM2vwBelzZRAlDWtUmzr+X9QqgNkjmtS1ug9EFnEikwoo7Ja0Fo5lPnE/v8Yo14iCiHhPC6Q8jA4aOdcCpeJOTf3wEBOL1ao2gA8+GHT0Az4fIw4PWzHegc8fybT1AOHbgEfOe7T8FXGa8+usZ0PwCR8e2vvyOZ9qsVnn3nDjQFfOc7T1HVYv4733uC7kXCeOxxOgwIz3q8PG4cYs1Kcr3eXhDWGbwpeHN7AAXG9fqCdT8jrgqeDCfJmkMVW/NK2Cax+L66PeFJfwRWFbvViJv+AhDw7voB/TAjpoIfvXkB3M545/YB6yvhZ0SqekzGpw878CXi9z5+U5j0Q3H/kiFlCXDOET91+wnunh7w1vUB71ztQX3BVXdB7KTU8sHDHVAI+8Max9MAimKFDhYS7E8+/RR1XfHD16/w9s0etQY8u+xAY8DDsx0+eXEDMKEPEiRsby743773TWyfnnDVX2S+v+7xtQ/fRz0m6RMTKuLthL/wzjdxtTs/clb91gdv4qPnN+huRtx0Z1y/dcDbb97jK09egs8Jv/viTWlBQIypygb54288x1fffAl0jN999aaU/IL8PQwFf/zuE9yuL8gl4D9+932xmO9Gd+79s1/6DnA34Woz4pgHxO2M9zf3GFIBTwHfun/inZsDicX94bjCfEnY9pMENUxYDzO6rqhBoewM49ipKVpFR9I6Ik8SUNMpYqwJFYTd7oL/w498XdoB1IgPz7c4n3u82e9x3V0wlYjvHAXNOOUeH55ucLkf8Ffe+Y/4yhsvselmfHi5xaevd/gvh3fwvdfXWK9m/OzVN3B3dcJdf8aXVi+9DYVxfj6Zb5BzxAfnJ/jgcIdaA3738Bae7Xf48P4G3/z0KfJDj4+e3fiGv3+2E/7APoFe9OjuRfIeMiE+mGQYyLdZCZayduSd8D68iWohL/3EQ0D/aXJ01+WnFojoGsia3IVzFI7HFMSuoUKkqZ0afhG7pYOt72VdUa7EXp2D8kRWBeVKjNisUaALIbJYvJtPVhx1481BpcqhNbXrpczfHcQLizvW5rPBj2UtTcpWA9WuekIZzgGIQLcnpFdJ0O7EYiR3FIPQ2rOIMYqswyb5RYVIhTP5dYCB9YdJ9rhCKHezWGb01R12zd4/nINyMSX46F/Kd/NGAvxyp8T/SZoYIrE0jV2xd2gWBEkCNJrbfe1fBsw3xUtf4aj90bSrMQjIT2Z3oUUQ1Isuuq9G1uaG+rvy+YOUL3SAwhESFY6LbN+u3QbBIjyL3Bji2aBkqGXDP5qpRX5uS9xM3FCpdcM03fjyOwM7KYo1M6gdO4TpLOdJyhsW+foDbMxuVlKUeqO4xIvRAgdA0BaDFfX/l38LNmEUKak9t3MIeGyjb5N7OXY2prWxv21xce7O1Ihuj1ImPRdDksw4zzMRRmsREOAycVvAvIGVIVp2bI3+/Wts/GbN+lh+ttorjxGcpAcNCGJmp/4hD8eVQI454JPDDlwID+cVDucBZQr4/XspK5QSJAggxsvLBq9Oa5zPPb51fOooxPPzFqjAPg+YZ3GXndTBd+kLskkTKFX0w4ztagL6itvrE2gjvWeuNSAIUBv42DroVkUAWPk+RIw6R+m+HASpSZ3wRITHIejOoD1jEok8mIsos7hjqTMTg2uzvweEFzNNUQIEJRjOo0gicpHuwCHIhi2KInsG8Oi+dSR8l6AIDQLjeBrcfTdA0Ka0kAydp87vt/io6FTTlgHr9QTqiyhuQOBCgkLpy67jmHuUSqBVwd3q7ByQc+kQOhn3NBTMRTuGR+kJtOqEuzFW6R6+XY+42Z4BAPuywmnuQIHx9tUe2GU8O+/w7LxDLgG3nfS7iSSlSmbCfRYUo9SAt9d79H3GJk3SQykxvrb/khCyibGNE/q+4I3+iOuNBMtmhS/tK2RePdQ1LrnDIQ94yII4HeYBD9OA8dLh2UXcXPfHlfLRhLjNWREC9WYS3ogqXmIzsXTp78JKoZojcNDnccn7UjSlxoY2A2iN92x+qBWDl1Vy8M9Knxv1PVGVCRnqYGugoc4BwvtjWTtYuVe+xuh65J5UutZWTbAMdWaCO9CCGLWTsah67O/3OEFzjrW1OWuZpBd+Rk06fsq5qx1QOznnMJIEAksURMUO9tzUDm4IV3p2yoCXXHSPoCk0VCnxIwM0M1sDdJzMf+ZCXl6rg1AWlsf0z5hQhMTMzuaIr8+Gvvjzrr4tuhfIe/Goj0/p2aXKn/f1hQ5Q6iA2wXEvZESTtzFBNjiDs8wHpapD36qgXhUn89iDGNXBNYwBnCporWxkNQGyyBJ9FaRF638u7+qroCPQCcYQRvtQQTkg9AW0zqK9v0gtMoyCthgK5DdvLQ3LMAiBMozyt3CKbVIEqOMhN6jOFgwS1jYZDBgZvBVeh1sOa/8LMGQibSXaNtdGKJwXxtC4NV2Vc91oH5lj8DqwDJ4GP9r/AZAHuNxllKsiUKgtbFpq4kUDKu4YtM0yJnWReSkxiwK3rEMXRprVMntWXs4cUDbyHjpF1HVxng2P0UtV07MN+BKFK/PhLXgOOLzY4PJiDdonfPL7b8iCcU745Dt3QAA+enGDh2c75Gcr/M733gYy4Xhc4eOX18Ac8L3DDeajKD5ejRsJgADvtHvXnxFTxd32jK/evsCwnfC/e+f38fTpATfbM3548xImtb0eLgirgiFkbdDXesIc516OOQWcn2+AyFgPE+52J/SDNjJU+XMfshNRDwrtMxNoXbDaSRmkzlHKMQzkHBBRMT8MOM69GNP1VRA0iNtxWhinBYJ34vWA2f/GKCyeHSlU0KqgvhykaWMlDGFGP8wI1Mzyzsfe5dPbNCKEinPp8HBaoZSAP/bGp1ipF0+u4ufwnde3alQYcJUuABOeXXaYS8Tu+oyfvvsQqSuYasRhHrBaC/pzd3PEYewx1g6xK3hvd48n65M31DtPHX7k7gX+xJOPwQA+ulzj4bRCiIz/8a3fwXvvvMK3X9zhw5c3GC893uj22K1EynuVLmAAHxzv8MHLO0w54s9ffwN3mzPeGA4yF/qC/8fv/TiefXqNSBXvDa/xxu6IP7P7tqBGqzNWNIsxIgj7ssJhGvDRdIv7aYUX5w0+utwIv+W8xcuHLfK+w/deX4NfDKjPVuL8mUSxQaP4V4RLcEOv2ovarw5ieMZB+FQIjHgMupHppqXlDQtsPNGw3GarCIhUHhDVc2rJkUhHzfaHinCW9cfKO/EYvOlrVEMwKhrMjCQBdYV6i6iKR7kmdSMOwdXWY1b/FP3Z/UwgwU7tdA3c5Vaq2RRxW+3ZLfZr37w9EBi8lvO2TTxcdP3bigtw2VXUnSQFNAmCXbay5g6vCcOL6AGFqDrJyzhUAd5mlK1c23yrXiJZUZIEL6+lo3iPIElj3CWxN+9YOTzynnCKQA7o9oSoY8JX6lpsAZCv39xQdwLmO5kLwqHUeZAXHl+ABEAdi9cKKxKWpH0EAOGDXmdBYKbPH3Z8oQMUf2ndzyaQR92AZOVmTQ80zkWFtoRvJjIc4Q6CNAYhfxqsV2SzL5vq/Q+cdKURKVuPHX2Iy5p9kwcDNcsx2UowQGNZf1Z5pR4o0FKIS+sUjWHV/7NlBECrv+rnjSxFVTZtTMHtvH1yKTJEsyz0tE8O7ZEhJ7WhSbAmWrmVwpayMQ7w8bGHsvZVW31rsDPKQinXrzdqwWPgU/LaJqYAXFSRVFVVUMwIScebWGHh9sBw5GZERHoPOnnQ+Zga3yYKyS1cNNgMcOdf92fgNsZZvx9MmM+dNEe871D20hPo45fX2uyM8PGDkIY/3e/EMyMwvrF/inxKeHVc4zv7W4zHHp+o/8Rx7PF82iFcRPFyzp03GAyhYqM+GWFV8O7mAakTQ7i3v/wScSi4Xo246sfWC2iWxobfOd6B54BPzlfYP6wBAp6sjqBUcbM94/bqLAseFW+h8NHlRrkKK5zGDtRXPHnvHsIHEYUIEeNQBpzGDtPYiQldYFw9OWK3u6CaPw8kMPr9V0/BY8TmvQPiUJBzFGSgBnzz9VN89OoamAnvvHkvzxyxdw9+OW5wOQmB9Y3hiJwDDtOAwzwABLx3/QCKEgyJaknUNdMklvJDEA7LYRpwP62RswRkgHCiPr5cIY8Jqzh7l+tT7YXTA7jb8i5NYkIYK755fhP35xXeud3jrZsDUpfxfL7Ccexxzh3OpQcBeGe9x9OrI4Yu475ssL8M+Pr92/jofI0QK/7Y+59gd3vGJk24ipdHSBYz4Vh7lBowloTX8wbnucOLeYvjJAHUy3EDroTzrP2KIuNy6vW5qDKHlZPg6o0Ct4C37F0QZLRkI4o6MVyCm5yJE6g6hiphVI5HzRtKN35SBLnxVfDI0Iwuzc5dhANwAq1ZuS+fwWWjQNu5zMuKeMHbAGST7Vgt8MkVm9yxO5oiQhImLTUBktB096HtIRp0e2fjHMRyPrRrr4oM8CU66uKZsp1LlIDq8kT688g1swcUFrzVVdufqjm1MiEdogQvC9SirFpg6EgU2X2BE3CpkAdznETu7NwhQ09MlTNpZGm8TT1HGsNjTudQHSWl3PY94sUcm5XIb1FGDo+Qnc/z+u8iQOEA0dwbbGg2wqzBQ6aFZAq+wfjksDJIxwhbkTjGkyAkQfsbGETG2/Iosw8jtT4ROkGpymZYt82ACxWCZMwNloNlJUCbzIDcdA1QwlntxS0r1XosrUortSyDG0WNwkX6/8AIZaNZFOvY9NXHhArJ308B3b0sQsHam5fGgzGkAgwv7XDPgvZQCwwMZcJVlqBA/Q/C1BCjcArtwdCAzrPuU3DfGZoasoUi9WQbz04DFA5oC3HQRYfQXIAVhqVOGxM+iPW7mCCJZXs8ywJMUfk5quByArbdGl3MqMrP8RzQv4qID0mQqU9WPkaHlxsQAfv7tQRFSZVQx4TTwwrPXl2BHjp8chaFyfk04JPzFaKa5p3mTtYbJqELDRdcpRGr9YQf2T5H12V06xn/px/6T1itZryxPuDJcPKOvTxFTFPCh/c3oCngk/0O9KIHAuOd9R4xFbyz3ePL168AhpdruEowgwrsTwPGS4/UZ/zce78HQPoareMMIuCYB1zOPcpF1FFIjB+5e4l3rvbSXVpfl3OPl59cgy4Bf+69D7BazaizIDWlEJ4/u8L0YoUwBvy5Nz8ARXb0hVnI1HxMiLHi7f4BtUTsR7FuR2D81O3HiEkMDMfaIYSKGCrmUZQ2qzAjhIrD2OPhIkjMVZRy2jwlfHS8Bp8ThiDE3JKlFDQrr8kM527TCet+RkoF39g/xek44E/cfYSfuvsYfZ/xyXiN8dJJ8KDdoX949QI/cvNceunkNY7nHt9+cYeP91dIqeD//M5v4atPXmLXjbiJR3FCBpzTs69r5CqlndfzGpc54fm4w3nqMM4Jr5VUfpk61DmAEktzvgDhO0CfBVtDCK7KkedKn7vPBiiKhEa1J08nQrwokmsGYBagmOlXlbXWygDWJsSWWvuOMBPSSYKmoAiJbeJhlrKC2blzlONacEEacFjA4zYNU5tvIoqoqFfZCbfSzK+6m7itwekQ/RnvDoThJT1OchMDg/BXqBD6V8EDAeeuzNq4VgUJTozVcUSUY+S3ZpSrRU8eO2WSPYwHKe0LeqNrEAuvxVBzdOJFUrel8Ufs3tl6nqmt+VnWY5oFNao7UTuikLrGahWAhC9Dhdxc05ClaBwXRd5pVVTIgcZn1CDU13FtpeHmb7NcX0tF/+jXDxyg/Lt/9+/wl//yX8Z7770HIsK/+lf/yv82zzN+8Rd/EX/yT/5JbLdbvPfee/ibf/Nv4nvf+96jY3zlK18BET3671d/9Vd/0FORl7Xe1iyeKkkpYWhE0DAF0DE5oSdcJMPiHBxF4FWVTpP7rt30LG2yMUlZyPX/ukGGUUhG3Fd3/KODwvC5me5wx43QSwunW41SrRwBQPXvDSpPB+0XYQGJoR4PsgCJIVJo9vwkY8IG1/ZSYkKAwIFay/QATolcIu9j5O3COlrPp66ry5urGh25uyJkfJClEVTQSYgpCKKkXBKRaKM1rNLGijQFDWKqB2t1pddbyGV+luHVnr3WmTfs2Y0fx0h3EwnxTjMJysJVAAmyJWMBMTo7RJcMcg5yjZmcF2QdVwWVku+28+eoJkeW3THAgwY1UwAO6rqpZcT53Mm1zQHlJHPy258+wbyXTf7D+xvUjqXfyWGDfE749ukJHl5t8O1Xd8ItOA54Nu1EpaSliJyDN8cbUsFdd8Jwc8GTmyN+/OkzcF/x5dvXGL50QLeeBWm4dPi9F2/gf/nee6DEeD1vMF2kgd27mweE6xk/8uYLPLk9IKWKmSPCJuPFfov/5wc/gsvrFbog7QG2d2f8xNNngowoT4IC49unJ9i/2uBqd8Y7778CryUACOq8+xvPv4p86fDGm3tcvbcHP5lk2vXinPrh6RY1E758/Qrbt4+olfD1w9vgCtyuL9h2E8KqIKJ6M8nX8xq1Bry7fsDt7RExVfz+6U2MY4fdMOH9q3twIfzX41u4P6yx3Yz4idtnCLsZx9zj5WULkPip9H3Bq3Ejpm4l4KPxBi/3W8RY8ZM3n2C1nvDx5QrfPjxBrcJBCbGijwXvru4RU8FH0w0+PN7iNHd4nTfIlw4//PQVfuTuBQDpxbNSNGfmhMwB+7rCMfcYS8KrvMWYEw7zgJfjBjlHvBw3GMeE834lpa9Twvk4iHmlopWUCXRSmbAhF2qEZlwTMk6d2R9AM+BMYlmv1W1ryFc7IebnDYOHxkXzhIvg6KhxVsKkgQ2TCgKkbFIUIbH3kZaSSRPGcA4tcTyTB1k0SnBjVhB1JedLLCZtnFgCs0oI++Qbt32eB20GCABREWBFCeYd4/yWcnEUTYVKlosGItNdW6voIn2HTP5rjrNgGeuQSTxlxuBmct4XTpd9C87KtjYuJKDdm2Ufma7Va6sCdIxt3DtWREfuB83aFNA6FBM8yaqrKqWfOQhZ1cr/xMAsJN6yEV4KXklJ3Lg6VvKimUAHlTcrgvLIK8wSVNtCjLvowc6iRP85Xj9wgHI8HvGn/tSfwj/7Z//s+/52Op3wW7/1W/j7f//v47d+67fwL//lv8TXv/51/JW/8le+773/8B/+Q3z00Uf+39/5O3/nBz0VHXhodFw9ggsbkWV6D4EsDZmEFMWPO0oqkYk0yLCW3gCay59GoABgBCvp36APt7nYBpbvATQQsKhXjhGVq9HkzPI3dIsbZpu+HiZeSBCIobbJxvCeEOiqN5daEtY4VUdJqK+trLSM7C3itbqjBiO1r03dF83nABLNa/TuBj+s8GLVc1D0yKyQRc6s42sQ4VD8AaNZkY1U27X7AgMZm0VDK3EMVgLZwC0wzARKrFAvWomqyn2WRU/Hv68eCNIoi2ftlZdTNNvQYMahb5P+abnPS3RBuVBm883t/griRE1uZzBwX1sAE4D5fnB/meNpQO0Y57GTstAU8OKyBe0TDgcx2uJLxH4WFICLeF/UEoRwShUpFuziBdv1iCfrE766fQHqKr68fYUvP3nlTQh5DjjerzC9EpLtsfTeSflJf8SwmvFjV8/wxuaIEIRgmvqC8dzh8mwNOkUkqgix4nYj/JkQxaOl1AAKLOd+SrhajfjRmxegXqS7Zsr3yf0VeAp49+oBX7l7hfVO3WhTRS4BD6MQmd8aDnj35gHMhBeXLbgSrjqxgI/qhNvpv6csJNsn/RFPtxIwPLtIQLdOM97b3IMr4fllh/ncYTtM+PL6Jfoh41ISjpMszldReuwcpx6ZpTy6nwdMo3RE/srqOVb9jP20EoSHgV0cRaIcKu7SCSGIbPrhssKcI86lA08BX7l6gR/evAQRsKLZ5dwzC2F3rB2mKk0M7/MauUiJ5zANKEX6Z5U5gi8R0yjzhM3V1YjjVfxBwqUhAmE2OS/aWqBZsqn5jNzufALNpstK5nmcoKT3BQdhCQArkmHlazInVpZnj1eKjBhZ30SO/twKQilrmiRCQfl/HOTneJEN1RIrQ83TUa9HkQcJjPT4C/t87gUxcNEAyXnzUJFvxEDRS8MVjR+XgbIrjviGaYHGoK3PABaO4W0d/KydvKMixK7MMTTKbPhDBop5jLDeF7OgiLrnEJyrwp0mpoZKG7oRNZnLC4S8AlbuIV37QDqO3Ez4DKmnrD16lkTXYHuJ3A9vTUGPUSQ2ruTSluCPeKU/+i2PXz//8z+Pn//5n/8D/3Zzc4Nf//Vff/S7f/pP/yl+9md/Fh988AG+/OUv+++vrq7wzjvv/KBf/+gVzhFY6f8kBnSC8bSsBQJlUyULVpi9KmIRD1HqfATJOs4RIRNyJxFjyEJ4IuVb8FCbemeoKDud5FmDhVVBBvwGsEqCUaWmKt03FbWxRltTFEISpLRRi07cCtRtwfREMn02XbtCeziqkZCiQmVbJeMgRUoCQHvxt+ChgiKcdMvLQMCCFIZMThaWudkbA1BZmWRG1hQKRi/QB4OmoHCuoBKNQW5B5CLSNl7NVgzGJKKPLRCZAliJmThHkWQrJ0SMheAZTjhG8O0sjqEnQajKTiR0ZS33HalKc7LSFl8uuujEdqz0EKXhlsHJDyJFLze5lXk6DYa0zTlVKBQu96lsqyN1xgMyCV/QRpLcSxCHOYAhmRsPVTKxrZCyxxfCFYmngO88u0O8BJT7Hp+sroDI+GB/h3E/AJXwwfEO8yXh9bRGIMZl6vBq3iKXiMIBM0ek1Yw+iHrkZn3Bl1avkLYznt4esO5mfOsbb2EdZ3TbGcyE3/j4q7h8ssXX797G/bjCNEVcJ1Gy3N0dcPveBd/44C0cc495Svj45TV+u38f86HH9ZfEtr7mgD92/Sm+cfMGPr3fiQpnlh4yKVYM2wl//oe+jf9p+lF8fLgS9VQJXmoqTHhvd48PX7+NX//GH8P0esD66Rl/4vZ7+MYnb2A/D7jkhKJclhQLUiy4688IseDltMX9ZYUQGH/s6hN8c3gCAPj4fAUKjB+7eobv3NxiKhGv5g3yHHHTX/AdALVEdFTQpYLj2OPj4zVQCD+x+xQfv3GNXAO+cX4T++MKX719KedbCW9397jbnjHEjO+NtxjPHc6lE48gAH989z385ptfwm13xirM2AwTLtyJIkmRk7EkPJ932E8rHC4DPhmvpEElxBU4Xzq8Pq09wSkX6bvFnawpPAUhTZqyTZ/TcNEgWyldZa0df7XTbRjlvWEmzNcF6CHr0KB9ZCCbbekNFYnISooN2sm2dtBGeLpxs2T5OUg5HFWyf15VcJI12FR6ZsdeBjl+WcumHc5BvkeTwbJSw8oIxJPCO5B1fjZ58YPYHDhHrq8oAQ1phiRWzLppQgKocBb+Se3ZuwVzx6ihOpIaD7Ieiq18cJWLKxQJCKeIcl0cFZI+PGJ2Nj+VUoqU7Qk0wSXJYCudAfNVdaVOK10r+kPwvSSvGWkfkG8AXst9Z03cqQiinDfFkR0eKkokDyzCRKhRxp+Ut2c299BSNvdVyutZmxJ2VRzCz1El4C3o4EEJxiZzHpXjk2T/ctuNz/H6b85Bub+/BxHh9vb20e9/9Vd/FU+fPsWf+TN/Bv/oH/0j5Jz/4AMAGMcRDw8Pj/4D4LVHtzUGJDgwsyCLHLWEET5rZW81VCXOOndluZnaxKgteyZDHQz5KBqBRv2dRa1GlrKo2eVckOCE2v/b9ZDJwUyutWKPcP1lcjrjh2iN0yJ2OZguPgpRerMni2BtPtlDtZCYweqoylEJVkMu8EXs0cxZQsOEhhzpONDy+ISGQCm649JDOycl1ZGhFY7yoGUeilhR1nFMtZHkUlUZIrfz+qx1tGUOgb1NgdedjcdjjcQ65esYYYzR7oeNmV27BX+LDAfETQ5t99/mg3o9QLNE1hp+GIN/ppySZ3GjdrA+jr3P8/tpLe0Jcofj3GOcE05KrJyLGokFdrnqkDJ28YKuz3iyPuErVy8hPigZXS/k1+OlB42Egx6v5IgCQRG2/YwfuXqB0C86GGv/Ji+5qvz3aX9A14uj7VmN+LLKu1Iq+PL6JVIqyCVgmpK45TKhVpEhX6URYSJMh16CUSblv0ibBWu1YMZ+gcQqPwSWhntZrOfvupMbvV2KNP67605YdRm5BJxLj1plDGIQI7dLlbGW5ntyXTfpjNvVGZUJxzyg5IhVzNh1I7oosusuSgPG1/P6sYoLwJtJVD4dFZeSF5WQm7R5LhHn0mOqUdREuUfJ0vF5mhJ4Dpim5jz9yPzK1HxGcFy8qFCjPFQo70DXHUMbTeLL1Ewh7VknjSU06QjT4jngth478V6fN45S7iFWBCe3tcDMIxdcUeWv2LMDRU7ZUUuzSGA7d+89o6gqBH3wbvNaLmdVtXhW7wgCFkELOYLRBo4dkSEoIlLQ0BJbZxa3QQJBdjUn6fiYD4v3HtKfl0397HesjuWP7fjZeUW+V3WLtd/WdvvP7utyLqg4oBm2yWettMfEi4oBBD2Pi7V4IUH23y32kyZ8AIJxPxeDY0jW53n9wAjKD/K6XC74xV/8Rfz1v/7XcX197b//u3/37+JnfuZn8OTJE/z7f//v8Uu/9Ev46KOP8I//8T/+A4/zK7/yK/gH/+AffN/vy7YinYJIhrXcgUron0XUQYxw4jGiXIt8tvYNZqJJ225rRCnMZEIe9MHuK7gmYZorE50mQvcQMF9XzTpkMoj8Sxwn0VXgHCTT7ip40NbWFWKWo6zq+GmP8vbofA1DQXiQTJ/N0wNtEngPBDtn80opUmsGwdEh5IC6lmsJF0NEWGqHZlJ0Eb6O16c1euZ18e+J+4iiGRSvGKFADX5qW1WiZEThEMVPYVUQThJ1+4S9KAvdoFUAXISUKg6MgDsiAnI9Nwopv04ydrsZnIPLCpGUn3JKDk3adRgq5VDsPqFuCuIpIN8UQU+2cj+4k3Gdb0XSbSZUZadmfIckx9Oabe2VxW7ZDCsKtCo6vnq/NgVmXFQ3BTXAg1kvTQWWNd5QN0WSqmY8RTtg5+siC67aSL9+sdOLZXz0WrL7F8cNLpcO8+sVvvXmUxyfbTCNCW9t9phOPY5lwP24xnHqlUgqDf62ccLu7QN+ZP0cv71+H6dY8Rfe+xb+bf5xvLk+4uv7LeiTAf+Xzf8G+cUKl+sTMgfsdhf8+O5T/N7dGzhPHX7q7hN8+OET/Pb33sd4krLDqfRYDzPeevoKb64P+H+9/DHczyvxoGHgu+c7lBzxY0+e43A14He+8w6+c77D5fkaV+/uxRTtScb/8BPfwrfvn+DV/Rb/1w/+OOb7AZu3J7y3u8er+y0+PN9if1gjpop1FGv6IWQczz3m1ytcaoecI45zj3e2D+j6DOuhM84J59KhPnTINeLL16+wPw/4v330k3j5eoef/tJ38XQ44ZMXN/housH3Hq5xf79BeEO8Ra67C6474Lv7WzzPV2LAx2L9361nvL9+jcvbCafc4ypcsOuFZ1MhhnenOnhPo+fzDqepw6fjDudZzvn5eYeSA0oSzhGdImbqgSkoD05KuHRM7mRqDexsU626oXBglF0R5IIhHDuVAeetlm0SIe4DiBVlOat9gwZ4dWBQkk00XgglyDzt1BBNEogq/h9rWSvTSMg7edbjSOJoy5Byii5Z3UNE3lSkY5Amd7pWhALUSbL0eEiiSlmxrF8b5aAUQUBrz24lL0G+IA10IC8xM2Qc4jmgrqD2/jIW6QRBa4y3t64yrtsM7hk5yXrKQddLXd9oIuXnwUs2w4cdpqfV+T4cgOlGnueyrZ6UUSakC4ng9C6jbgQZFv6NlL7pEjVJI7B1PNe/oRKmNwTVoKO6ZEOVSoGRV9xcYomcF2gJVVmrwsec1VcVoZNSLaIGSLpHlF3VvVDtOlYFtE8yloMams4a5AzSrBV9BZ0EpaPUZOCf5/XfLECZ5xl/7a/9NTAz/vk//+eP/vb3/t7f859/+qd/Gn3f42//7b+NX/mVX8EwDN93rF/6pV969JmHhwd86Utfkhs3L95oJFZG4xwALXO3F0EJmNWjUC8JLVQbzQa+yYwf1fQW40yVvGkelSZrBrEThChWMIIiMpD3x4VE2jYqUwkZGsJQxjW1L7V6ntc0GWzGFBZgm3TMj9MeiM+ev6M5QGv2NcsihdhMgDi2uMTH0q/TxnIx7ha5Vwu45NisSAoCtcjfshkPYBbZxiJC9/H3LIzan7U8Znwdj+b1HPzclYHuDHtimB+Ag0nL+7yQcntmap8ti4FQdEjGosqqVHnxXlKiXLtOLG7rIz8CRrOQDpC+TUZOntsYWzPIaUrIkyzgx9yDckDJkoHzJKqUc+4wFyn7LBvp9SljCDNikE7K7wwPWK9E1hxjxQzI+xmYc8R+HvS0RG3TxYLrdBafncXrWAZpgpesyV/rdsxMmFnChETViaLBMjuIJT/1Fe+s9ng1bvD6YeONKM28ju0zAEpRO3mI2VzQcTwUKR/J7+X7X+UNxiyoTBdElXAuYs5GBEdlNmnGNgk3Zj+vMOUEroR1nERtBOnqPOWID8dbjGOHlIp/zy6OUnYiscoP0O7YCk3MnDCXCCIW5VCJuBRR6NQSxP+GId2ts2y6XFopgOrCJCtCZbftGWFuU7HZFaA97/ZIGNEzoNmaL45DyjFoDfLaMyElWDR1rSUmhhCyISPk1gfuiQRqKI2WRNlcSu3ZJvj6tfyOmuDHM0Kvq3ZsrVA+yyPy/2I5alwcuX6Yhb3y0KjCEbDl+mRjascTrqGUjcz+wa814NFaxBYsBEE/ONjv5OSpyjk50RXtXNt56Ffbkmvq1AVh2e+DBU5A83Sx4/o16HUFftSQ1c85fmY9JbkEhMV6zmgqq8AuTFgqyJYGoX/U679JiceCk29/+9v49V//9UfoyR/0+vN//s8j54xvfetbf+Dfh2HA9fX1o/8ASM1/o6ZpTN4scHyjSNafobbI7LbFRnSMo5KNAEE1LhG0VjvgS5CsuVeCKIC4l2NPTx9n5giqlrEJekhSbzQUhCST5qGCZ2F8o6/Id1qb06yGFKEBQ/4tUPMx+V28KIvdITWSDOoQpaRxpX1jtDQAi1wXvgNxrzJobQfgds1rsdw3nwB7qLuX0b0IjGsx32WvicqHoVLuIIZHLI0PTalEiTUwkIcu7iNcRz9LySCMAbwpcj8IMu67LJH5SbXzTMBDJwz2oWVd0hyLvaQn5GEdh9T0+vUqi+mUwtPcVTlvK93YtXQV9Up4J+JxE8Soz8YdgMHOCKy9MkhqslNwwrA8CEFsv0+xWUhnlVgXkoVAGf4mUQfQUBaLlCo9CpyhhGMj+ZVjB8qE6SwETN5kfLrfudz6+WmLuI/43vEGLw4bnC4Dns87XE49HqaVoAc1oHIAAbgaJuziBZthwlc2L/BjT58jfemI//1Xvo7+7RP2xxV+/+Ub2L/c4vdPb+DFa0EMdmnE7vqMv/ilb+Inv/wx0DF+/+ENHF5v8Oy0xUfna9Al4kvrV3j37gG7zYghFBCkv9J397eIqeKnrz7Ek/dfIxDj9bQWAjWA49Tj6e0B/8cf/i9Yv3HCq8sa/+njd1HOCX989xHeutsDTPifP/4y5jnizf6AN66PwFDxv7x6D9Opw5P1CTfdGaUE/E/f+xHsP75CjBU/unmGcDvhu4db/M6nbyPngL/8/n/C20+lYd9+FqXMN/ZPcTn3uLo548fXn+Lm7ogKcbJ92G/wf//gJ1BfDbi7OuHPPfk28pxwk07YJrHlL7o6jzWJh8zc4WXe4jCLZPrVtMF4kS7D++NKPHP20sMqv+6lEZuhjUZWXyQyZrNQrgpYSx4cRSJMGnyEY0TtqxNmaSIvUS5JqlrhEh4eAzQS8hPp0cQdo1xVdWGVjevyVhZypgUwugakIzlPI50FbTGFJWVBgSgT8lae1TKwG5CFi5gu8lrQzbKrKNvi/BIe2hpX1gxelZYHVQgfIhO6g3LnSisx1Z0oBetGjhdM4ABZy+M+Oh8NSnjv7sOjZLeuBcUwxNZIsXVVMb47C39O7wsPtSHEymPkTUFdMeZrlnE+RYR9RDwpGTUpwtzXBalW1kPSEi/rutc/S3LMVRGDuasi52fcG11HXA5taw3gpGXrxcS6NyGr31RSpMVIw9eTrJ97+c66LcJL0qa28tkgatNKIm2uEljbXvV5Xv8/D1AsOPnd3/1d/Jt/82/w9OnTP/IzX/va1xBCwFtvvfWDfZkhGsACGaAG5dkivryxOnnNfnnZcOr7uBhAu5HQ96TqmTctyjB+PrAMhB41X/Lux8YPWqA1ZBwTzeC90SDghmpG5jVOyaPmgFnKNhI4LBED/ccsofUzVr9dNrBzm2TixtBeZBg1QTa8rpFVv48bQ3AkxezqrRVAa3/O/qAsrZktwHgUoUMyPbbPWUa04Jc8sowmtNYCgLc3MFvmmiQzc+XCEmGz61lei2VWdfH9Og94MZeWn5EyXBtTM6ByFMwSEzXtA+CIjHcqxeK4Nk/8Zz037WxtgZMR7Owapjn5cc5TB46CRoxjh3lK0pBvUkO40uF06TFzlM7J+gpkvBWREj/tjhj6jGGYpZkgxF69zAFTjjiVHtOUsI4zNmlC6Auu+gsoVTcaA4tSBQBiYEEhiDFVdbclQSMCASlWaQ1AwPNpi8NF0NWr2FxyU5JSWAWhMCHEirWe27l0kmjGiqtuRNBk41w659Kgr0rIDWCG80eq+qR0oeJhXuETbVB41Y/o+oyhy+goI0X5+8tRVTyrEdxVDLGIoicVdE6SAIpOIlHryDWfau92+5cizQIFNZH3Vm1u6ijBwvuIgKbIICFEss5tq/UvfUYMXSALggmPFG4yb9EyXZ3TxiHx/jvmC2Xrm52PcfQUAbCysfMcSNZUHxLn/bXnaskFEzNF+V7v9QKd6urd4WuYc1H0edLzoirBixE8XF3CaLYOpGuNcQ4VqaTFuIiLKpz7Io65/P0Jhb0W/DM5L3jy50GlIkrOeVQEzJ5dsy5wYzdAkG3jHSliwo+OrYvMkmNjLx035yQWeryWLdEUQju2/s2S6TpF32u9jN19Zv1eInB2XO1i/3lfP3CAcjgc8LWvfQ1f+9rXAADf/OY38bWvfQ0ffPAB5nnGX/2rfxW/+Zu/iV/7tV9DKQUff/wxPv74Y0yT1F1/4zd+A//kn/wT/PZv/za+8Y1v4Nd+7dfwC7/wC/gbf+Nv4O7u7gc6F1rIxjCHJrUFhCWuvWdoDM2zRPXx8rNG36mC1sU7cZoZDUzTrWQnXlWEoUgGT4x4EMtomgJMR4+gFswzeRZP0RQ27P4eiKwGZgHWUrxqkz5hXmswcz0D64J6k53RTpcI6oVgWrcF8UGibl4Xue6g523ukZp91JVck3FuoOgG5iDZA0PbAignZs1OJC43Yosc+qIck+BNqsDkFtRsKqm+onsdtBWAZhlRXFtpDI20qtmXZXWCDsj9dN8VJfaadI5SlRbkDNfU24NW7yRr4cAIB1nkaSJRN1zPwrxX599lgGmeNbIo6CJc9bOjoF4eLKzkPEkzGQDtnia9x0qIrpsK7GZBTszsKEKQlWN0AydrfPaojAggbmcnrPGq+CLVPUSkfXCTJdKmYBZgjufOy46Hwwr1OuM0dygPPcq+w4cnNYybO7y4bDF/uhYTsbHHWCLGRVddQBosvtHtcbO+4Kfe+gR//O4ThL7g5WULPovx3LdPTzC+WGPU1t7b3QV/7vbbeHJ7BDPhMPWC6Iw76abLwPvDa4RYMZcoXZeJ8el0hdPYYdtP+Or2BZiB//riTRw/3eI0dVIiqYSb4YIv374GAHw83uDhtMLQZ/zFt74pa9PxKfaXAbGr+AtPvoHbmyOmEvHR6QalBPyP73wdb759j0iMh7xCvUQ8XR3RdRnzJaEjyfQ+eH2L//rxm0Bk/Ozdt/DDT1/iahhRdPn87uEW33r+BCEwfv79/4yrtw7Y9SNu0glv3hywWtShT3XAVKXB4LFIr6B9FgnyceyxnwZwJZzGXrxiolwrDO0NMg+8lQeA7iFoew5Gdy//xmNA/1rWknQg5G3zE6orUaQEtXYik/CSJh+z9tTpLGCgpnzcR4RTkEaop+AJVBilqV7UdYEKIZwJq0+D96AJo3BLaKRm2GaSZGuU2mvTv5OscyJJrqBLQPdASPsoiU+38NPQ4CadqSEeGnzEsyAH07sz3F8qsqxfWdBG0r2hXBUZI+WX1E31AIqYpGXGkywW7sZhi6IYNLNOd1HVcr+Z2sm9k7Gyc3Kbfk3oBEnOblIJVkSYgXQQpR8AdK/l2We1r7Bmsnmtx1YPp3iIMl5TaElSUr+VAOchGunVycgML9XasTEFX9/iOSA962T93WQPQnE7CQdF12PvVm2+WxAkp3v5+ZklPzAH5Td/8zfxl/7SX/L/N27I3/pbfwu//Mu/jH/9r/81AOBP/+k//ehz//bf/lv83M/9HIZhwL/4F/8Cv/zLv4xxHPHVr34Vv/ALv/CIY/K5X5apzuT9H3yQC8nksvqsQVNMKnGTG2ElDdaIHVhm52rTbtE2wTvmguSzVT0zzCvAXlTk/Kr16ulZSkksRj1weI4Rx6hZA8F8AapmBzxKCcdQk6rkLbYJUMVMzjKjpf00ADcOkt4T9fv+boFKXVFDEiqpnp6b5btm/3XR1M8zsEzCf4mSTbESgaqiFZyD9v2x6BHt3ylIIJnRFDCW5VXT9LN8p6Esdu2GSkSt+Rp/pyyM5CpkzKqWVEwZZBmYq4R0LHLw+WT3lorVwbnJqxVabeosalmRc5fkZ7t+EFSepxGItSmwzC8q0dqCJBtvn1S68EUWtQJpRmPfocoB5ND4TUwyBwGcxt7RmNPcA4mRS8SryxpUCIcirrApVCGVluiZvjxu4u+xihlbdbR9Z/uA7+zuxI8li0vtMfe4n9a4XDp0VBBDxbqbsU4zPu4qnl+2OJxW6PuMS5VOwdfDBZUJz/gKz8cdxkuPujuJi25gvLk9Yn+9xjQl/O7pLYznDoGE5Et9wet5jVKCIhvCPTFeSnB1TXXeSowVK+XcvD5t8F8exPJgmyY82ZxxOg0q+Y3YDhO6WPDy0KOjgj4W8SQpK0w54nZdMPQZc2A8SUesuoxEFRHVG0VWDmJgxwmlBkw1YSwJuQYcci/9ikrAVJS8Wkl6Rp2Vd6Kbjkjj2/NXI8DrhlrWnt0nY74W1EPMDeEmaFbSqQrncYeGqjA9khV7OROGZMIJuEszM8oqE1a9gqEZdZD3FLM4V+Sa56ZADJkkCCPA2md4/xstM1nTPQ5oah7SxEI32xrhySK0zYdzcxR9MUTcjBahz5cbRxYCZkUx5rZuioNtcMSIo6xdrrKxkq+W3zhoCZkWa42+qvHPGI5ii+8MgfcJHIG8ZkfEwySlaQuCauLWhsSSGUMxDA2p+j3q0eVrriXTKmuuupYBaOZzOYAnPces1hgrFU5M6lBu6IsFLsTgSU0BlVNDxlHS9YzUGLUsuUB/xOsHDlB+7ud+TrTj/19ef9jfAOBnfuZn8B/+w3/4Qb/2D/6uTmqj8RJQotQ+w0QoWksLM6H01KRXVbX6Owaj6uaoE9VLFvDsnCIDmwLsk2GTksmolLiuJJtmbSsd1hlc1MlR5VpBm9XxqiC+lH4sZSsGYWEMKFcF3ZH8pkun5epIRjhE1Gt9AFYVHEvjMyjfpK6r6t4ZKKE14GMCpwIao5DENroBT+ZUy0CnqEhXRQ1jpmZjaM0F5yAqmG0RD5NJg6IiD164ECoFObckY0NBa5YzAQgItxOK3oMl5BhOEXhzRL1E4YwYVBo1exkYYSio+05QsKE2mDAA8SxjiFRFNXUSkmiYSD1sCNhltVzWuvYMFA3M6BiBoItMYoR7GasSqn8uPLSglLoqSqKs1EhV83AO7spIBtkCMsZjEJQEkGsB2iZTyHk0pI0hedaMuGfpPTSURwsRJbHwtgWdYgWfO1FXXWfNYAOq+cyMAVgXnE+9B0qHsQf3YoZ2OK5ARRxY54ce51RxKAOmLAHKpcgyIR2JC7ZpxF13wptXR/yZ6+/gO2/c4pMXNzjOPdAJb+ST/Q7zXkoyKVS8u3nAk/6Er2/exkcP15heDyhXAQ95hZIj3t/cY6wRv89v4qPTNcpDh/KUcK6CJPz03YcgYvzuh2/hPz57F/yqR/gS40l/wrCZ8cn5CnlOoPWILjwOUJIauMVQZVMG0A8ZmzAhEGO+H/Bf69tAAK7SBT96/RwvT2s8n69wmTp89e4FVjHjNz68RUcFqzjjZdng0+kK45SwTRPeudrjflzhzfSAq2FECqX5uSBg5oCpiPx7rgHH3GMqCTlHPEzifFtKkHJcJeQcwOeE7rW4HFOV9SaeCRxC63Y+NOUfEiNvK4YXEfM1Y35jRrxPKCsJXszaPmmvG16sY0yyEYKhjedE2o4k6AcXeDfbMAdZKjeaLWtLkLITnp0FLNwx5p2WBK6z+GnoRl0zu3KELhZoyBpYtoJQxhedJE4VapBWdW3TWlFQv6NdQbwE91EB5Nm3sm6aoE0PuSHs2yJItLqK0yaDT8IfZDXwtOtsiIsEVGVbxNfKlJN9VX4bCbp1kUAm7hf9xiwgYjQuiqIfpGtAOhG6h4jzD+Wm0CmE9LxDvqqIB/F2Eg6PrON1I9dJs7rJLtzCudfKgHHcILzGuhUVI+6yEKj3SYITdbgOx4CaBZEPF6lMlNsi69oxumt7OAdQjm0enCKGlwF5q8mTonB2rfEYkN+YUW+XypY//PUDl3j+/+plLq5aq6zrKpM7CSzoHBRo5B1UknZMslFbtn2MjyNss6jPBD5FWDtr91bRY9Ekiz+xHKeekjTcG4NaA8ObPVm0XAfW82u11ummekbs/I8lD2QOC44IHpHk/BVZLKYJ4F4hSOV7WL3RyhHOxjakxFAOUzOZy+MYwKcEV7aopb6gTuyTz2uPuU0n51coJ6RMhoC06ESIX0AdZfwpLqDEqDJDlnF1RnuABCfKBypmS2+Qql2fVWyGKpt0JpHwVsgDFOANGTnVJuUO8AZnrIumNzzTsfLaO6sR1VnGyCBQAC1ImQOaazG8yaLdM3TirIkAaZJoTRQVOndOEEHg4Aip/+r5gBg1S9BcN7I4hVGccZcIE1jqxqSB03nsQZP4pJQcULZVEJDIYJYeO5PKbw/TgKrKn7yg4MdQsQkT+liw2V7wpd0rxKHgMA04nwagEF7mLY5jr5Ja4bJ86fY1Vk8u4Er4dx/9GOqhwzH3qBzQD+Kxkm4m3J/W+O0X7wFaakqhYljPeP/6QYztiHHIPYgYX9m9xGZ7QSDg2XQFIsZbwwHbYcI0dvhgfIJnr3foQsGb6wNCqHiZt5hyQrqe8MNvv0DoCjJH8XBhwu8f3gAA7LoRt/0ZSIIsXUqH5w9b/NsPfxzjw4Dr/oy71Ql9lKCkC7JgWwlorCJfnmrEqQwoVZRVlyLN/c65E1fgSjiPPTgH5EmCwrKWZ7ImAEXq/DDH5ILm6kk6x6IYfLlTMQPmAFp1jamq4PGeLZOWM93HZPGcWhVFS8/OZSn6PiW/+/pQRaFWe+XNDVryvkT9Lnm+q5Xgk5i8xTM5uTIeJdivqfXekfNCMzPT9VHsDtrf6qDoy0RIr2UM84abyiXAEQ8raYEA3HcwS3fbJ8pKOxlPQdym1dMEgKPldSFH5qhrpq751pyvDioTnsOCvydlfRFwyCBPt1WMOdnWJjlfQVPUcE7LP1Sg1vbkwalzHSs8UYSWuZuLuNxT7lgCsSoVBSR2+XHZVO8JZHOQsxgveqVAaQ+P/Kt0rSyKgNWhlcgQFE3TBoaf9/WFDlBCKghDcaMrrAponUU50tdFLY+8/sdDFY2/8Qyy9HUI1vYaaCzkog21AlrZyOr8gbX5XfDP0EXQhXCR7Nfkf2YKxkE3ZeW4mBSw3mSXwAnJrD2ATuiqiwu37Hz5O0UypPQkDH2H9iyOsezBJrMGaGzlE9vUu+oM+mALYNDa8USehZtBkGRiC+Is0DbkrnFKlt8BQJ1rIWqkS0BQvhAiN9M7BsJZnWedF6TvSYJgWebHTkZj/56wygpTKmGvkPiTGAcFELTKG6VJYBSyZIbWAsBLX/afjWldND4M7IoTe4hdKWb301Q/ECSEuirnuKxl69g6KVY/G85KaLPFyzemIJykjTjehona2BaSGrOOM6mXxTQm0ChlBZ4DaJO1RCOnu88D8hxxrj3Oc0It4nQqxm9iq9+FgiFI6ebJ5oyvbl6g67P4d1yEzf963uAyiXS3o4LUFfzU9cd47+4eYOD5d28RjwGXklCZsOpn/MT2Ezy9PeB86vHRp7dgJgRiJKq43lzwle0L0EqMzk4aoHx1/Ry36wuIGJ9exCPmzX6P635EmSI+vlxjfhiQQsVbwx4E4CFLiebu5og/+/QDaTbI5A0KPzzcAACu04jbdAIlxqn2GHPC+DDg9Qe3CA8JT/oT3uilyV9HeVHWkfs2c8TMQQIT7ZA8FinxcCUJULIY002X1IJpKJrB8nxTab2oAClDxAu1ZqWKxJWrIjy2S/AAgopspmzPrf4umMvpEt20DYfgSVDIcCVfTUAoWJgPynNtZF0LTDgxeCjyPKmTcpjhzfe4M9QbSGpdD1LFkVnLz+Trpwcoeq0AnE9nzqV1qJ6g9feqXNoUL005qdeeHV3LuofgSRFHeA8zNk7MRY3TvIyr47Tgh4HUI0X5eE5OHirCmbxMB7PAt8BCn9V6k1HuMoh1X6ma6CinzTrY271nU2nqPmNUBrKkBMJdMRWRB3bGxVFuSFhnaTcy67qyLoLaVpkDvBJupJT24WVtTuJRY4GqiDkkcGLlE5ryyNoLhLHxdT7P67+pUdt/6xfve9SQwDdVyy9RNkStm8HKGCZFBRCOEflWNygK/vu6ajVIyuRWwXXdMv54Cq2xn01wQNnxJEZGkVGDbMz5Ts4lTAGcG0GXT2LGNd8odK/NvbivYtdvzQQXUmZv6mTZDTXLfqvVWkmFI8QUaaEAsZbgcsKGAMBLBzRqnXGln5mDOxkiMHjF4EhOfmK1xa9rvXYyZQs7oS9MhLKCl2OWmzoAyZLW7EZ3+dgJzGhwr719LZbR4axli5Waph2iEIhX8nCxy5ZaM786N1QJkGxIgk39vZFtCb7QUlaDNOuZQ3hcx1WNP40RdNFHyIK7KoRcHMQ8rq6LBEDHKBlLV0GXJDyoIosQW1DSK7te5dYgybyMHFeuine55k1ZqMS4IWSkhnOG2liPKp0/Vc+3nhKwqbIhkpzD/bjyAOb1uEbed3g+imV+TNXLE2ONqviRbsQA1O/jgq7LePfqAUSMZx/f4N99KE0F909WOK4GTFPCJk5YpxnX12fcvvMS3/ruGzjOA/bzCrlEDEGcYjfbEU+3J3z32R1ezlvcTytUJrzV79GvZ/zOJ2+J79SUEKmqAyzhUjr3PImhgmJFrhIgP4wrdLuCUgN+6+WXcDyusHt6j5t4RuqK9M2ZV5jGhD/x/sf4L6/eRiBBa0Jf8HLe4tVljbjJ+NIPP8O3v/fU3WNjqIhUkUi4JzMnOZ/aYaoJU404lEGcYmcJ2gDgPGuAskRJ7Wc1IwyX0AjegLdpyBtNdJQ3ZWWBUIC8ErMyFO03tSJHSWun85hlcw8X9VdJGtgQGgJNpLYNhDqqgZtuQvFByjY1QAzY+oZeCgk9OnG0DNoZ+Ry9vBTOAfMVN3+VItcVJllbOALdfZCgaAzgymo+Sahb2fxoCiirpQxXykQzBPngIEaV3o0dgngELcXwqiJvSJWQEhSFg5BkzZRt3rGu9WjcuEiydk+iAIPy5aSsX6WMtrgm54pAnvXC3Mr1hXwfAFr5jGvjbjgXKEggQKfoSZULHvTcoMZuxlfhXtuRLHoQoUjSVtW4ExVAz6BTAqvK0rmRVTcO408CQJSSYnCzVEFb0kNA3gFcuRl6agDDA4NdpvRHv77YCMooN9c6DTvcVTQCXzKqLaOeSDLN1DZUBlxpIu+Hb0xLm+GQWwRqZQ9/WSDRVed3hHV2WC1YkFQhGT8gm7GqPYx4ZpJYn3SdIi6RQcvvC3rOS4v3rkXQrtTRwMCliZbxWKZEjzOS0BVBLyxbMbmZsuxdCqvjwoYYaKAjYxwWJK6FRfLyVQ0CrWLrb6WbpLXpZfnK3GDndp1WyhDezqLMYxisBThmq61Rv7eFN7dD28AXpF/oYkPdIkAx5Myu1e7l2AJVGRAp+9Co59JXd8s1oi5paUYWp+DySc+OFiRmR/MA4btUavOZZE6Ymsgk3ViXdq6fIR47KTgTMJRG+q4kVvQEEAmJlia1WdfGf5faSY8dDm7N7tORGCtFD94cDnhv94AwFOxfbUAXKWMcco+aFUmhiqvViD/15EMM20nKH3OnSks551WX8dXrFwCAQ+5FegtoIFQw7gdcHgZxJdVzqCzIBS8fzsWPs5u8AS+PG5QxIhJjE0ekVHDKPY5zj1ICvrp+jiHlZrCmkuPT2KPrCv7s0w+w2k7oSFxrnZSrZmwFMkYzR0wlOjm2VkKuAXNR1CRLp2QuoSGQnqnrGmAEaL2XRkQUjyAs1F/cPq9ZNUOfnboYCy1bGxGeNFdyEixszuty19k6Bl0b4CpHtpIsLdYM6DllLR8xWpnBGucBbqBWh6qbP5rYQYPveCFZXot81vxbDFkxzp2NDWv5uWhvsDBJoG6bvPcVUuPDVk6GB/vRPKl0XS7Wm0zXawR4U1Sz1bf9wtYpKRfpaUX2Td+fy0VQIcTixZqmCaCV6ID27BpCEseF8aSOlbmN27rBZjGhsuPP2jPQbErFtn7SJEn1EqEn5wY2wQmCBKlOqIbycS7kif6y7O2NAn+AqOMLHaBUNeHBLIs8FUI4xkdIgW+cymYuayFSWuQNJuQnAnHZDS6bKsc5Rb8ZHLQ9uMHlBM/S00OUyTdL7RSDEFP5ZS/tr5NE9OGiMKJthgsUJh3VdI3hrbnpGMUw7qzZvka8GBekTQsYLEPeFGdjI+sxlHDp33UmtbrWmrCSv8IhSYb9qke6V2TAmPHGIVGyXTgkNxhbat/jfRKiWoU0DlQ7aBlv3Zg7bYynUX3eiZGdQZ0cWRodGon0IPcr32Tp3aOS3bKtbRyBBgWbV41PFDTFkxknWUdjhTUNLhUptBgm8RjFBjsywj7JmKksG5XA64J8IxJwr/lmCULqTZZzuEivGO6kcSTPapN9Fmk4iAUN0UUeQ201YSVAA5AMWS386y6D9FyY0fhDgKt43M5aEReRIdtzIN9DFghrkHc8S/PBWgn7ywAeKs65w3jpkOeIh7zCZU64lEWvH44atBA6ymAmIdEOJ6w3E/6HH/s20hsX3J9X+E/P3gXngKKKFgB4t7/H0Mvn9pcBx8MK92WN/VnKL28NewyrCb/7+k3cH9coVUtNc8Qbbz/gK19+BgqM+7zGfhyw6jJ+7OoZiBifTNd4ftoCDPzk1SfYvHXEVT/iUAakWPGz736A3d0Jh1H4L5EYH+5v8L2XN+iHjDe6PYaYMdWES+0wH3v81vd+CMdnG6z6Ge8Pr3CzPeMmnV2OXVgDOGhfnRpEHVU6nOcOD/MKzBIMzkWe42lOgq5NwflS9iLlEHCSzDyMwUs33FUv1bQ297KJzTeKKioMX9ZS9qhJ0eKqm5MG7Pkuq6mbwvSmMONFksZw8UE8E+ig1vLKaSnb4iV1J+KTEUyhyI3Mt3QfgZmcq+BzHmhogwY8ZRDlR9FABtBmdkyOLIVJSKPmAmsbpMmr6SjyZEPK072ce90oP0YVO3SWNXi+lmeybHQDtmtcV/0OXiiANHGbg5hw3mRQEaO1cFKUk+DGanICws8IJ0nm8k7M1crOFKaE+BBdMgy0wNEsCwwV714lQUxU6k1jdDSpbosTqoMl7R23pCYxWKXB1pqk7ooHQtILDkgPWnI6pKaEhKyrwg1kT5zyllF3We6pzufg0uogNv6f8/WFDlCWElqTagaLzi0wqd//GUNBvFHVojESeZQodVf/nWUHQJtkmvCYsZGZ5JBG4WHS71DOigdMxv/wco2eh2YPhjZYffdRQ6aK9jMkE/T/NzIU7L3LGrE+JPpez5KcUyHZBqpetw2JRt6OuliwoTXpMKNtjkCz0bfxN17PktQb+LEZkZXibDYSvLGjk8ns2pT4+6gBlo6jk+kMmoadLzUEJ+j9tO9awMI+jgEemBqiRWXxXvtPeTKUakO3GALLKrLkfgjGhWI7XuMZuemezQUv25Bf47K2TMpH8GMv55KXexbXDjg5tn0XHr2IIHwUljk1F/FoKTWgFiEHj9rPZqoJuUoTwoLgyhhA0AtR+2QM3Ywf3T3HsJpRasBl6oBqJmVyA4YwI2l5BJBg6z6vMSuyswozYqyYctTzI0EmSsDt+ox3Nw+gIFb245wQiXHXnUDEeDltpIswAU/SEdvVhBQqjnlADBU/tHqFdS/nZmjHlCNKjoixoidBRQoL4oFMyLMEhl0q2IQJgxJjo5aBqk4sQ05Y/y01oFQSrk2V7ypFbP7L8jmvi+eE2kbAQQOK5bPrc468NGn33vkSOjWqlib8ftfF/CFoA1Ju68pyfujcNAt8m+fWjO9R6wdua4wRyZef8e7exsGwuWiJGxbH0+9mJeE7oVXXDHfRDYqGsK5XAFB0PVW+nZF87RyFoKrPg3mdZBKuDaM15NP3u9Ag2JpoY02Nl2FjZWh1XewNn3ne/Llc7CWPUFroXqbl8+XvBTFbDFG269P72XwBW+K0XL+Jm61G0LXB98u2VwAtOPW9coHu2pz1gNJ+3Sk/cFF6bvsNfqBmgV/oAAUAEKTmBSaRXlYhWdVdkUl8kig03DeugJWCjOvBcwAfk5I1ZfDMjtm5GhXgTUHcR2k7fQ5u+JWvZBKYfIzHKM2lIiTTqFrTvNXSkkKDvsESML4/odxm8C47u72uq9jHA+5xIXbykIk0BuAcZV7PJBm5yY/VO6Gui0OJlmXNt0Xg1ImcnGmKGQSgXBfkp2qdv1QTaYBQNtIIjHtGOlHzAiGxa843ct7zk+xEOIeCs9yrcpu1oSBLgGjBjEKn4n4rQYk12wr3CTjIJleui2/mNDbDKO8wbYtPkrGOh+joAWkrgrgXUrMZs3HH6F6J0qeuK9BJJkCRUe4yyt38OCiyDPOUWuZLEDn5vpNjqnQPgf1e8lpIjOWq8VMsu6Jj9Pc7qW5JvpsDWJUCNAq6RFMAXyJCqrLYWEA0FNBKpOL1LGY5RLIg0TkqB0bmIc9BuibPASVHZFVhneYO9diBx4jX8xrjRTomH0uPSX1STrN4khQEnE4DjnnAEDKuhglvdw/oU8a6n7FdTUAlfDJe4+V5g7kGRDBiYLy/fY0furkHF8LXXv0QpocBT7YnBDBSqPjTb34PN7sz5hLx8XiD+ZJwN5xw25/RDzO+9uKHsL9fo4sFgyI5//M3fxjnD3dYrSdswohNN+NhXOFbD08AaNDST0ix4NPpGg+vNvjhu1d4743XmOfoqMh+XuGjyw3QV/zZL3+AN7/8Ck/WJ2zDiFWa0VGzsJ9Y1DpTSTgV6QS9n1c4zuIWe5gHTKce8xxxOfcoB2kzgCJka9J2HEagFA8fefbEft78QeRf5yoERjoIAmDl1TCTIpSiGqxJzMy6V+pVYfsEQU0Dhe8Rz5Y4WSAs832+LYij8FHyTXUCqK196SEK2f3SjN26vUh+y0bncCfnkndVDcvaOWAlz4V4nujGOJOsrwwh/0/Cp0El9C+iSGaVBF8H5U3M0tTVE0xtNJhUKURVA7ZR1kpWYm13H6TEUnVNU7l02VZPfozDkl4lWBdiTkp0B0DniPhSWk+UtdrXT7o+7bIQZmfl4ahiyJLOcEiCkhkFoMLlzYAhX/Jsc2JtIVCRd+xls3IlCHrd6LqvJeRwClLu6ZVDMkb37+JLRL0Se4JwjIivUjuGJoLTW0Lkr1dZ74Xw+dKxNY411SF33LyqTPET4bb9nwUN/rDXfwcBij5ozj2w39uNp0eZCIDHA6TBB+VF5mILvGbbvNiULDton6eWeTC1aDzwojGXPmyxem34UaRKDT2gZSRu12SRLyTTNctrYlKCKtpCYsc1VAAtq1hm7MLkp8eRvX+OG8HWomo7D8sYTGZnNGsNLh41lFo0unL2vI2djhkV5U7Y73V8idEmOLUMye/dQh31CHlY3md7LcfS79tn3/M4U4B9PwmiQFY7tbGwOuxCAtnQDD1PM28yZIMW52/fb8eo8KASQJNsPyJGL+7BYk541kgALedMVvLeYiOy7MkzQloczxj3lVCyIAVlkXVPVcpVZlu/LPEAQOXwaFhFhjyiixV9ythqF99nlx2Olx65RBQIX2QdpTEhAnvpQ4imcvzb7oRVyiglSLCg45NIpMuffREpjG3cM2IfG9a/m1PsXCJeTlugEq67C3a9NAYsyrM55AEP8wpgwhvDATerC1YxP1LsyPUTZhY1kpR45OexiiFbrYRZx7BW8maYdWFd7mipBex2v23aBL2dtg7Zc6qfIb+ni495uwi0rH55o3T98+fO0RjliS3WKLNrMIfZz66ry8fMUT+bnppFW4+oZVYNQwtsPbd1nHX91PNfIju8uL8+xxdKQc/sA1qiyXYNNh56UFunDclgeFDSGr/qP/Z725TtWL7Ooq2jS0TTztvWATIztnaty7H04zry2saeqV1H41ouPm/zwLhuWIzdkoxte9uSf2efV/GHcU+cx2dcv6JvN0TJnq/lNevatWye+78aDoposatk+1Gi1zKweAdU5WvERgQD8ChYsbojCjnbvfbs6Ea+LvLzIBF0fIiujWdtomelCCrklvqIajhGkinwpqDuikD/ZzEkoypBDCk3hvZJ6nusyIZtWAdtvtRV2XCUSEVz8GDArZfNuXUr6ILbEFtccm4afb6dlbVfVcuvOnvjWChh1bIWmklcAsfGd6CZML8tFtLWBBBdlUh5jK4IoSzSXmPuA5Bz6Bjd6yB13zk4Q5zOYpZGJtElRcV6frSI0Bwav0ZJyfEhtgBB+Sk8SG0XppZR+NEsn5u3gBhYITHSvXJE1DmXM4mzpCocov2tEEjbF4gSQjIuToz0EGWTNGm5ZrSY5X3pdRQOj3Jv0kNwYll8nR5JIos2UrM5HM+iTBDlVfWFhjXYoDmgeyG1aSKZZ95pOAch0gaVRRuap9/HhZBPgsyMcyfXFxkP0wpgQVVOWeSyJzV0G3PCzBEpFazj5LLgTRix7ma8vdkL4ZWA//Thuzh/b4eH40p9QSRAueku6FYZt8MZYZ0xl4jX8wbnc4/rdMGT1QnjucP/+7tfAjJhKsk7Kf/ozXNsrkYPmlKs+Itf/Qa27+8xz4L0zCVi0024GcQvJRBjKhGH1xv851dvIwwFbw8PeGN1wDDMmFmkwN95fYtvvngCTAHv9A+46c/oY0avZF8AqFoiutQOhcUR9qyS4lPucJo6zLOgTSBG1SAMiYF91zJRwA0Q4z6KzQGjkb1JSa9TI0vXDghTwHxdlWzKnuUuSye2aZWhBRrmpRImRQt6IO8Kun1AmIHuSM5fo5kw3TZ+VzwR0r38D01ihMaW/KgxFxXxNbFyN81BZbQq3U1qnX4vCLa1tnjUn8o4ZQxRvwzyfE9Pi29+ZaXqm0lQy7zRtXeo0i4ksK6PQL4tIoVWuXU4S4f56a2MvBN0GFo+4sAy/3UdMrFBvhKEol4rf5Eh1ha9mId6GUN5bWGU1hZmQWGBU11VsPLD2Pg4gYEckDdiMx8yZC1UzyRW75X5tvjeY2MezoqYHAUJpq6KxNzWiIUCh4fqgUd8iOCVNBcsN6XZa1iwpu1VmjhB9k7pcbSYn1aKz7JO2hrO66LmceIv83lfX+wAxTYhq0UCzk5/9LLsVSM6+7v1MiD7nalUFllwQ0daFvJI/2/PflS5n0WTQIuATWFSlHFuMlJeGKQFbqxuyIO8zIz9eotmNIYgaAZu3BVTCvFnM2+gMd8VvnV7eBujAC0PUUM7HhWj0Qi+FiEvkRQbE5NN5+ABor8WBGaOaoevHiTO4yCo1T88sykDGso0kT8A7cRIlBDaWOzRtdfFf4HdT2UpZZZzgzdas3r3ss69vBeOEkV2lMKbcOlY1oHd98SbJhoHyha7xdjXhDZWdu8N7rUMWNGt2qlnjI1BYEeiSOvQwo8iMVhiLM6jXTfn0O7xZ+rLHFgcTfVem2+HSHmTO83ORXQ3M0fkOaFquYOIEUlKNKuYsY4zqKvo+yz3vgSMnNwjJVBF6gruhhNCYIxFykp5jsrxqAiRsVlNft3WcO8qXaSXD6RTcCDGbXfGqpMO26cqJakUpAEhIIhHqXJ9URGXFCqGILJhQ29CUI4RMVZhRh9aYCLThpQcK5ycXIUrM+u5ZeWigAnjLGW0ap4TSxST7Llo98BQCiPC2sbHljnb/xMkSTMkxOaYrX2muiN4h3L73pr4UUM4m9+cgKIJmzfY1IDHEFtTEdncrp2UoSxQqYtnn8MCRQlarjIyp4kP2I65+E5qz5uVEcwvClPrUL/wEFzIesmdn9uawos+Q9D/dBwXKiRrFsj6LHjbD1v3dJ3hSSXimuyyPfvJEAi9vXacYJu+yns/S3IPusbpc1lTu3+POEKxHcteRpqmCiVdB+fhmMHmMtHxFiodWs8cUo6gziEfG0XDWM/PeYC2T4TPHh+LKoH+6g9SdP4hry90gEKzeGN0r2OTVS1kvk4YNXMfdUKt2jaaezU3K2j+GoaKsKAqvNLMu9oNFnOkcF7IywC3MuYEZ+FbtB0PEjljDkhncTjkpJuXeQ50DGxz4zEcJIJdBk2UgyIncNWJWRELoxsI29kdZc1Z0ngZHtkHCMw8VI2wyQmf3YNkPiLdDY07YtfTSS3ZPQeMw7CVplvIhO4+Ih1F4RPWGWE7e/ASLCPUjCNfF5GlLcoh3Isrqmd+Q0V5Ovt5yLGbhw0Ce+BX17VB49p4kC6ifqBKUqrRRose5AGNvBXk56J1e2efW8NDZazXjaBB1KsfSVqoccwo8G4CKbcJ3pNJ1TxREBxj1XMSg626lbpv7SConSFTgECu6yJNIq8yhpfBAzBK3ByBrXa+0usbY3PG1aDRy1EXq3fL/PJAsUomNE/J791x6oEcUBm4H1e4nHqxxJ+klHGqPcpD56WNFKQfTRcKrroLbtMJw3bCj735HOFqRi2EZ9MVco4q5WVcby740c0zpK7gcBnwwf5OLMgh1vVXuzN+5u3vCneKKs5F1DDv9A+4WV/QxYLXeSNOsv0eu2EEM+HVvMVp7LGKM54ORwAQhGROIAKuhwuCOuMOIWPbz96L53o1Yt3PoKHiJp4wxIwUhB5sL5M2jybFBuFcpJHMmMUPhZlwuvQIxwg+Rwn8NMNmoAW/SnAl1g1HpbV1EN4BMbRZHouJIcM3q3QILld1BC6a2Zds3LzNj1R9dVs80KhKPi2D/D5fV6STNJXztVU5ZVSB8iS7iSL38j28LUAvrt5ue06yaUc9L+4Zedd6/tTr3CzyN2o0d6ZG8vR/JRAJkyiFuvso65WulVbm5a6KSuYsyEXci4eVl911PMzojGaS9bJvCBGGKvuD+TL1VXhdhdzSAVmeUZ7lGTdL/Xozi40Ey3Ns7rvmhk2FMDyXxot0DrIGEIMGRV9PoUm6V6pytPXWUAq7F/p7ox8ELc/1r0TZw+sqTRi3s3CZDN1hcjNK3MzCyVMuS5jgzW/NdRdjFBSk03nm1hnk6xMit1J1aOulveJx4Yr+OV5f6ADF/EPKWgxgUCCLLOBkHGsUZQm1vdygTZtZLUsbhixUlUk5YhJkky5qIFQHsVYOpwBrGlUNNhujbG6hZRRgNTgKLVInJof82ZxOOy0/KMRo59d8MrBwalU3P42Ca25dLsWrhR3Wy2YyN1Mrd5hkWd1k6wAv9Vjww1Za0c3QpbomrbMsQGHjstZmdoA0Z1PlA1JtAYRt2rooek8ke2jsZplcltpEtwzQ3WX1fpvDLIx0m4NnJ4ZMGJLgfIuFL0Ad2s9m4mSyRnep1azhUbtzhhCWTUGm58wlLFj8lkZB7L/twQ3tmEsCrnRurm7uJ3X60M6FxNKcLorQWGBhSUwEwiyBrH+PIUf6Ig2mDA20fkTeTotY+BGjBEnjLNLvWgNOY496TjjmQZrc5Yi5RiCJw6x5pQDw4EN65FRcdxestxMoAN86PME0imlZYXL7/K7LmKYk3ieRMbOohvpUcNudQH3BcR7wahLibheED3KeO3z3dAsA4k8SM0oO+L3jm9KLCMAQMioD+7LCXCLSkPFkOAlZFUCgiqpBzTgnDDHjenUBiN2IbfmaObqayc4zV5FSC4Ii/BN7HgC5F84ns3KjzUdVm5SNmH2BFGEgKc+YHNhIjkv5qT13UqrWjSITwj7B3GRpVDuDhceOI8+6+ZvBmKDIOoWtg7I+d7UDrPv7ctPzNcHmOwEhy7VZA1GaCJR1bUxw0zFpDKpBmPHbZllfwim6IZ1xMLxRqiJHNryPXK11LN3OnyElCz33OliZG0116Ovh8llvfzfkCkBDbW2dNi7cRa9JkdylWSanhSoqwOXErM+6mLzBKQhG5Be1pf6/tWQRtwJvCmml8NotznkM0iJDO0F7WYp1van0yJ7CVGM+V5UnB0CDXyzQXsjfzA7DUBNfM3VdVM7OD+DT9gUPUBQGrFdZmjRlifRdIqqmPNG06FbeACQiZ8iGSfrek+jIOTGoL5KtquLDu+MO4kPBHYNXFXVV0e2Dd/+lTZZo9RSQjuQWv5wELiza3MkzAsDNcsJJbYB7qZt6FGplgahRtnFmAtQoB/Lz0HgWbl+NRSR8LbXOeAqO8tBZAxRVNuWdZkCVkI6aiakSyGSDWFXvM2SKKFc8JckerO02azBCmRBWBWEnaEo8Beds1EHrvBYfnNvCaTVM0mMTC3MdiaUWqo30qMqDg8iIq4XyyQ2LuGUgRsytpKZvkLFd60rfVaQjtTG1YAdoNvtqfGWwZzyqF4+qqKz02GTmcGiY15oRWX19wXYHNKheFdBQm2eFKhWM/AoA5eks2eOC/GyEW+cOLbgmoStixEeQMUtVGhQaqa+rCP1CoxggyraTXPM0J1Bk5BpwPgsSsM8D6hwwZfFGoaGgDxkV5ORZQMisA2XEWIXnsTuCiPHtl3copyR8jRpBECO2VZcxjwmXOYGGIkRTlhLNO8M9ulXGwzTg1bhBPiXvgXMce3z4cA1m0sZ+GTxG/N7LN1AfOlQl5NYa8CpvMM8R282I99evUWcJMkxa/GySZoGbNOHdzQNAeNRrxyTFs5FgnYMi1z4VQUnGnFwVxawQ+aDjXGTu4Xp2lJYyCep5NctaQxCuQhRVSN2oMm5pB0+yjtSNrmtDRRxlPQxjwPBCk6BFq4+lyeDStC1eyMsMVEhKIyzPJXkjS+0fpmqjcAkO97thJuButPEi52puuFGt7bmX5qjday15DUUDIe0nhYZ8dw/iLcKGckTtnVPhNvvWAdgk2YAko7wrDSWthKRrdh0U+TRzQy3p0qjrhO0B0LXDUMapleA9iVBfGgk4gnpN6docJAkz5Sd31Xv7tD5v3DooX2WfCzTrWqlJoHFtwjksvl/nSGp9jspauJOUdQ80D53+M885oPxLGe8wBkephCvY1iAAzh2qGjxDe5mlffSyDttY2rhpUlVtrD7n64ttdd9VlMQOn9eNGoBZSaJnZCO4HtSm3rJxr7fJZKzrCgy2gLBGvwQKECJp1EFVUx+LeqkS5huxlKYMlKrW4VGj+wWSY3bLdWVZsT7EHbtJjmctNSAon4ONOMXw/j7csxudlZVE6eJQulwY5D/uZRNkZeRzgmz2o0gK83Vt/Ber0xbCvJPOv06sAtSB1SJitG6VumBQquBz8uzOgjvboKv2aLGmZ0xi/Fam6IEbp9DGRhuNca/BRgXQyT0sW+UGTBKUla2Yj9VJgy7lmbCdvyEDyz41fUUYo3xdVz37KYMGLglArGJiZyQ43TDchZbJWyII4lW99loMMSIGxXYuYo+taI8tarMGofodPAUPYJwjsGTgW8CrP7PBhHrvawcxJbTOt4t0hIKWhCxIs+BIp5D0jKrgHJ1YXfQ6SgnIswQTUxEiMDNhqgmcA86lc7OygoakRE2ddknkuf0w43Z7xulhJb1pVBIWIbb13ZDx7tUev/uwxkNe45w7d6ztuoIX91tERfbMfbZLBTerC54ftuJtAgn+btYXvMKNGLJpKvjt0xPM5w51mHEVL0h9walIoJRLxDf2T8XCvxtxnUa5HwBMq1S4oSYF0mtn5OSB2VSltDMpIZaZgCobOR9lnUAvJUhOBIrQZxwID9o9fGnaVjQJiCwdykcChyCILjHQwzfrmuRZFwKtPG9VN0Jv8tnzI8SBJnKiblPpyFwqK11fYoVxZ0ImhPsoKA8awsKJEY9BUQtBJsusidWk2XkGykaDixzkZ9J1t6jfSyaEc2pdhAcJMFjtCTiy5A7XLbAPIyH3Mv51aAEBZtK1E4ICqpWDWx9US1yl3EaWdFHw9ZCy2gaQ7h22ZhYgzAFVy1pLRMkcaonJkScrpebr2hKP0JAHb4my4LyEY0DVgKgOFRRERu08Fg0EqYRmr78uft4iCGBgFPSopurJL3Sdoapl8GwGeq2Mxam1JJmv5RqFAsGeKPMlNDdwXZON4C28peCJ/ed9fbERFGUiW2Mla9z0yIZ9JVB5mCyL1mzDSFYw7gGrRr9q9qDOhBohSgAhN8XalhvUVnfZ9fnxtFDy6ORye2XVgbNubE4YStIWO26zbnqLSF03Lff3sIjcVBkG69pDpLVU34ysLmjRP7EjHWbT7EZDZMiOLBy8kdq01YaBlh05ITi1BQ1RiIY0qkeMtkU322pmcpTBbLgRtGaqUCZpndtNnHqtA2droKXjQQCt1XtgUqm1NuxiW9RdJcUOTwJo6iJFLqSeHRpMy0BdNeM30qwyGI+E5H64wR8gTdG0TCPnod9jrdVZ/9+u0zI1LeuQke4I6gvDPh7Ca9F/P0tkXS3mhWWtFpgakRZopS37mbj5oFjph9uhQ18QFOUzLlXV/kWlBO9WPdUk6zULiRZZApW8KPG0Uo/0ytmECauY0aeCu9UZIVWMVRxqGXDTs9Uw44e2rwEAxyJN+gAxd+tTxnzocdkPjgIAQBeFZGuS4qrkvbvh1K6NGJUJn56uvCnfLl6k0WHptbEf4flhixAYuzThOp2BLGUoOW7w41eQBDU14FI7MZOr0liRGcjaF4gtno3aGFIt2GmhyrMkJJ00c56CctplI7QM1Ywkw0TNi0RRWm/KZ8+kEmztuaoJHkg4zGAohI2lbi5WkqhD1dIhO/maqqjr4lkDCnOmJcmyvVFcpwGBWtWDgVDIs+kwkVvJhzE8KlmlQ0CYIG64KwZlzeD1meDIyqmRwZUmn3oRupZbAI+qQZoiL3YMFzwAj1ue5HY9FrB4M1DjgQDO+QEgQUFs3BpbHwE438ial/I2C6K0FHnofmMyXwzq52VkamJJKHRviRdpwsgE5bbASdXuL8W6Vur8ChflqgWbS3rsqvOgaHLTV7lnOi/MXI+3RdY1U7Aqj05K30F8ljTRRoUjcbRIwD7v6wuNoNhEqta3YJSovupiHRaE2LzVoKUXC2iHyzuZ+L5Js0SljmgYKQlwDoqsBvKwxktA0Yh9vmn9Hjgw6kreWndF+oWwbuy6GNGocB4DGCPq1dyurcJNmECQzGKo0iwrsZyjkT71RQrzUSXwYDIOCcoa0VVRHW2GNa11KF8lbc7FCGotX/vcGhcqgsMDNyb/GMRjQb+LIoshmJqT0TE1sykA9LKXOnjPav0e1I66bb48RcnglTBL5yjcED2Os+KNQZ9loWC1wKdROAu0KpLxHqSNOjr2Oi7te/CVmCZhCsg3Os6m3okMjqWVg7KaRSnXh6tI2FlhXWR4aQ0A+CyoBRsfRQMG63tDkyF2Rbgj88KvJFiAJYuCd5oGmsmSLiZ0DloqalD4UuUQLoSshnamQnEuDUHG6xKaJXUSzgmbUZwubpbZlb1IjpmB0BXULWEsCXUOyCkKKTSa86qoe8xNdfkKVLFKM4Yu4/3Na/ze8AZeT4KQVBZFzJQTdqsRT/ojVpsJn5yv8PK4wc3mLGPMhLu39uIY+8m1NjKMWKWMd1YP+GZ4ilMZcJx7dKuMr25f4HfeehvX/dl5Iqs0I11PuFlfsKIZfZJS0qjBxk88fYYPHu6wVuJsvJrRq9oIgB/nUoUYPBUZA/GOkS7FeUqY+oJapV09MjyT51VFuE/ezsBLsQyUHoq2Vgn4R/k5nAN4kkC6rIXLZLbtFlAYosFe1hZEtXsImO8kCaOTmJJRJRQtG4iCTY4LSMmUGDLfjX/CaG0hgtiaW9ASLFGwDS23f60BoKEC041eM+OR0ieeCfNNQdhHpBNhvpIePayGdWWlyEwhcBWBRNloI8UK5LWgy4hAet45t8e6HYNJ1iVAkM66KE8zIbzuXAzhJfIMcbMNDDyICVu90pI0K00AoSGhRc3dCvlaakgSgMbzurS2LGEk1BDa5q2cDSJBx71hZBRukXEQy7YKes5aWtZ9CZU8+OahCsFVEzuz/je5MgdZZy3InVfy+3CMUi5S9U9dadKtfXpqJ6XtWkiDRTjnUeTWElTzwAhn0t5E/AOVeL7YCIq9LEpcwqEKVZkNvrPWCV5zpwJfmE1665GkoRYuo5LjOgEIkIh18b3e3yVgEcxAlB6KgLB9Pywi1cxjpLZ5QDOmTjdW+w7iZpZj10afOScLHiwL93NdLFqsqFEnyA0AxNEiXuXx6ML2WaMx9yEBHJ50W2NAHhyFTsMM39RBErk7lyfId1GmRuQEVEa9uFf2fv3MUlbn0ln7u7Hx7XpZF0tu5yBZxyK7YZKN3xQ9+j5v0GhBSl9FEWX7uwU7FkiZqgltPhgfxO9BtXknYx/MWbHYxLD3LTI6C5CZPGCw3/v32FNcln+X+bUkxfo5Lb7HuUpVrsVIemAsyLLtuqyJIwUAXRWUIIv1fOYWpJkviJVBDHFgJkSIR0oMFbfdGSlJz5/TrOgDBMHoY8EmThi6jHPuMI3pUYPCp9sT3ticAG7k1EQVuziCiL1JX+oK7roTbrZn4Z+oomYVM/phxqYT35YQKjIHL828s9pjlYR821FB12cPTmS4W9NEkSw3SXFR0i/nIFJty9I9QJT5FS/kG4e0mNC1xOajE+MlKLFeONLRVjaMMOvvMzkZVRDNxf0OFkDwY4SgwoUACLLRVW0wR2jzabmU2CbDgZWwq3NQ55zPy4pmf6AlI3tvXeuzx9B1VOeVWdBDkFUe1K9jENVN7eC8MSqEOCl6YXNW11yOjGTPuX2Pih/czt6eJ72lVEnWwUKP3RWY3JQtjFr2WihTGlpu3wdHiN3/xYI1Jl+vjcdmCM2j59fOG/DAwQ3giuedUiXQNgU+7pqMeOsDU9rYNRvCsygX2/khQEUG3FSNntxyW1eVE2n8SRkjvY86V93LJi4RoM9c4x/x+kIHKOGYnADkjYquiw98uSrOiHfDH63RW9bijPU5INx3Qugs5A3hSOvO1sDP2p9zxyKTvc0etVpt0W+kIjJ8TsKcT1XgSFX6lJuC/CQrn4RBpyQNCqcG98ZXCfGV1quNzU1AvSoSOWs2ZcQ4METielJ5q16H27rrBClbQQ/wkEATYb6tDj+WrdRSl06u4ZBchmZj4oHh6074CjZxNRM0lryVZfJtcf+FsJcIvhoJdVxMRVfWKHHVOCO2kMxB5NF7MRNDJzV5VLX2N96J1tBNKWVIARNENWCbxSRSv2ANEQHgmFyu6PdVDZsoNlQIgDycQbg0cR9bUDJL8MObLMdVWNjuUx2jcIwMpeo000laJgrcWqozwOcoTSz1POtVabVns84meBA4P1HZ8ywqH56iEGO1FAdi4c70VSBgKzfptVVV70i5ir0k4CZjl4iHywC6RJRZOh+DGLlGMXKrARduTfHmKkaEQT1NVinjSTpi6GY8O2zx8mGL49hjrB3Oo1jDb8KEZCU5PT/r5bNNE97ePCBtZ+zLSmTQAHZRnGBfzlscLgNirLhLR6xSRq4RY03aJ+gZrtYj+lhEDh0rxpLwelyDiPHe8BqbbsIqzFiFGV2XMbOQdTOriy4HjDUJ76YGlz1XJpxGOZ+cI/jl4M8iGGKOtk8IGYhqES8N5oRXFFTJAoXrQ5E1qG6qbxxRm49OT0SWWzt21Y9nxixBA0M5HwR/fqWPDtzPxGTv0mNLUENOsrbVTUFW5IIuEemsBNOhqoS4olypbYDyTBAghPAkG2K+EiMw1mc0HVtQ7xy6IGtIvioYn5ZmS6AIDrE+uwRwxxjfKGKoyfKdYSYva4531WWu3Ddr/nIjBNT4ENteQJLM5J2cH2+KqzirXXdWrpkmV7bWInAzPRvtfCUJaeMK2YuMm1rgqI6oBRX1PJiBn1ws52ZxIIoikQ37usmkRnZS/qprFqNJ42ISEB6SB8SGyHlQYiW8XQau56ZqZGlRsEy2POCxsUy6pneWpAmiEo9tfzCib3EkBm7J8XleX+gAxZrbuZQLaBkj4TE/wjPollE/Ig0W8pqaZAL6PuMPLKLNZSQptbkGj7phjb0Y7cYaf8IUJfYzocGxnnXz4rzIz90j0fj4OywTcdSjtqzE3+MXCw8gTI7HyjcgJneglM9pZlMW31PhZlKe6WmW/2is7Gc7p6jZFivvJFqWt/jM8nqW5291UvuVpxBtrPzallLfoHOD4copM2NzO3kdZ5tL8n36ngVi8+i+6rnw4loflQNt7IJs7t+XNWim8X0NA236WrBgWY/OM/M6ANB4I8txsFTXeUXL72zHtWtg4w0t51NYji28rOUGVouMcy4SkHEVaS0RlJNh6EJwnsbyFUlQlCHM6GJVnxDht1xYGuoFEq8TIjFQC8pjmjmiVkIKBes4I3UF59JhyjIpuyC9eB7mFXIJamtfkEKFWdDHwNilUY6rA0rE0ql57pFzxCaOjp4EqkihLjgozZzNApbKYs5Wq1jZ23u5kPeFsXEne45Cm/tsj7klNoSGhBn1IXCbSnbvF2ueq9UKPVqzQJD+M0u+Q1gYfdl8W6C4bipmc2lB4vX1xiapziWtfjezOUegLdmxdeXxY+vIm36Hz01bGxhe3nV0F2imizZXlRuDisfIrJ2nXc/yWnWzNq6OnydpcGefYXg5y9ef5fEVKVk2YjRu3iMIytYOe07tfOrinGwtX6wnvtYqYuv7lz2r9h60MbTj+vt0b2AbKwtAIiN8Zs33Y9mzb+v8ch1ecAn9ez97XxfriN+Hz/n6QgcoNlBlq6WVAm/ix6rUYWuapJ4dZCRXVf2Y7C1cWo1MpF9yV9OZWmaearP0rQQ6JPSfJsRza9rlxl5mgz6L8RkPVZrIKYko3ifgIiZCohaRm8y77H4UFMUWuJh/iTG+zZ48qlmTMbmBtliti8tmaVXE6GxT3DuEztFZ+7xWaR9BCLxW2jKeCWSMy3UR0x8SXg0A4DqjXmepd86thEMqg+5eB5cCgyQTi6fGlZDMSb1btNwQjtGj+/QqIdwnGS+FHrmr4pBo5DhjrAdGOER0ryPSQ2znqQtV6CrQq3Q3Su3e2fZWmjMZHEFk38akj9x8B8ybJbDUsyMjTJLdlivl/th9qvJ+b68wBcSjKhVycAmjEW69pKQlgXolsnULtsuVolBD1fkQxIxpW5zsWq+yNAlU1I/WxQMQl1fbXNHv5SrliNAVhKg8mChzkIYiWZhaXVswwUPBOCZB/wLjMA0InXiInHOHcU64cMKs5Y4KKVNZEz7zPImh4v2bezy9OWI8d3g1b2VqDRdEiJX9V3YvcbM9Y5wTDmWFeUpIQco5XZfxreNTHM8DKkReXBn4vddv4HwYEImxogmRKo65x/0sxKu7dMS2m1yJw0z47v4WH724wfn5Rsm8MwI0wFEkx7obX7jzvkST9ia6lIRSgv+HCtRD543sbN0qvaw/09Mi7TM2BWVX1B9H0BCOQNRngRgyxxnCmSqCYMSDyllJEjZTkAyvRB5e+yq8jCDZ7PC8SV9rL7JlWbiAuI/oXotSo/aMtI+CoBgKqp9jJZkC+oxYEtUJT6LsKvJTkU2HQ5L5HtSX5RIFOTpGzDudkx0L2rCqzplKe3mO83URya9uzmJYV93NNlyC8g1p4eYNf/6NKBpO0ed9eC2ocVEJfzgHrD6O2j0Y0vDvPiFcgjd7xW7WEn5ta4WholNA1DUqHQLSQc4pvk4upOAo18kbRXg7MbWjVXFptyuObA23Z/aUWlBZCXTS+7QpsrZexCPG9gm6BMx3+regcmAm7w1mcvKQgf6l8p5yQNG1zKsGs5S2wzkIymoJlfpXhXNYmNux37+ytUqF2THofap6DheLXv/o1xc7QFlkJB6lWVRqL8uCNQJ8FLxZ9MePP+cS3YUUGcBjBQXgTn/+WY967bzYDXlc0mWZrtZ7G79kkenrcZjR/AnsbxbFAh7VPzK+CdweHNXUczH+Avm1LTNzX3zq8udF9rVQxXgUbJwUu1Y7b4VoKS86ki4zB0WuvMmgjtfSWGmZSbDyfB59t52T1fQLtezIXhbJ+/mi2c0bauWZJzcui32WFp+BjYuOzYL4aufPdjwv7ennrFy4OCcrlbBLgtnt5B+hOLQ4P5sfy6wHeMw/sn8rPTpvCiyqFr3Xfs8CN0TF/mES0psd38jIy6lvxyeAF14nWW3jsypYcgnSQFCRlMKhfTcgBm6oiCrlXaUMroRDGcCKoNhrm6QUU5mwL6uFqZqYwIlbKxDALjkGAC5iPR+JtfdOwmEeVK48u9rH+CRO6CVG/5lmgIEYFUFRIfkv14DZeDZVyMG1SEfoUoIjGZ79KsdniYoss9KGPMBt2O0tUrKkx1PDFCH2XOvzW5dZuyVdy3my5D74+snt+3UuMsGl946oaGlomSm7eRjg12loKdCuy67b/YHsux1pbd/rzQTtOQMaR8X+X5VNhkSZJb2v5Qtk1JIeCxZk/SRFSdDs8W2sjUPjEwCOqPtN0NKUcRGlBQHa3kLAI4Tdzt2e6SX52Mbe9p3Pkklt3WZqSNMS4baxXK57y2PQ43vOtFyHuX12EQz5feHFHlUXx4N+xhJ3/13box7tT5+5pD/q9YUOUFz/DclMuVMTrLVm7FHZyUoSCuoo64z3rkomSuJXYfrxqk6q6bXOGM3Sg2YCBpPFizDm3TVVG+9JB1CWWt1VRlG0od7kxo/ZVofG4ki+4dMpqm8FJFIdlMiauMmVjTDXVW0cuBiHIL4KdI7oXiax5H9I4HNs6iTAe2UA8JphPCrH5KI8B5YIOj3EtpB5ACQPOZ2Sb8BhlV1pEC+Eui3iiGjESg0A6rZoJgHPEuJJ5JRC8oVnE+U6S6Z3rbJXQO7lKSLuI/pX2lCtEMIgNe68ZnfSlIslyXzOsZGiAZSb4jXXeCZXCpgUvG5Ls4K3xTeLp47JEU0V5moahnNVUAnhHJHu1cDIFvm72VG9ujaeiI7hZREUBzTeAmRswilI1mMuoPa9Rthlbep4tKx6EWim6gEHGDKeHqDIePMlSsYWVcUzBvndViXdqUrvEXPaVLIcWPrM1FlIpsexx3jpcao9xlk4GmMVdGHWlThRRUcZXSx4OhxxN5zAJeB75xvkOTohlgDcpROuhwsYwKfjFcoUHNkIQbgjITAG7ccTA+N2JYqf8SKW84EYLy8bPD9tQaR9dWJBrgFjFcRn20/ohxndzYircBEyr66wUYMVIdJGXDhhzAmX0kmzxCnhnDuUOSBfEqZT3+agSnzNZCuexdgq7WMjqAOiSCThKcVz2ww5SsYaRnIpLs2EOAnKy92irxWA+VYbZGpATBnyPK3kuY+jHLt7HTx4KpuK+aY0I0jbSM3XI7E3xGMlSHKv3IOT8NxqX5FOQZrPbYr2paluImbXAoKSfTXIugQfgzARijY8DZfgHBEwhLeyeIWJxDxzXWXNWQkyka8VPT5FRWhljQmnCNxOoNupJUaAc1nMbkLsGBStqhCEOLK0LTGC/EqQyXAJbrqW7zLyTRYJ8d0svLAi9z8edT+xEiqA9CIhPUTxeVH0NewF7fFmqS4SYP///NYsc2sKnhR6EGbOtjm4sgeANwyNp+CJ2vy2Kkd1LXazyUnKkuGsTSyn4K1OaBbOZ7V9dgqID4LyiJ9OcOREjESpcUAXMu7P8/pCByiPoluNDIUsibaZKuPcJKRU4WRQZg0IavNEcVgKaM2ulLxlEbd4CxBqv0BbCrXFyIIFgkwSJZb5YlNC80BhNE6ERaALySrmIHJZQlORGDtaN6664iYjnqKgLlECJ29aVcSF0eV2OmYgWdg4Nuhv2SDRHHJ5gU54kLNEHBaZ/BICdrRj1rKFZ4vsKIjXmi0bsu7T9t6g57FQQZi3QrF7wOTjat1g2TxlLNNYsuytFq/ZgcPYyzm1RMws8zAUyqBOC0Z9cMjvORZjanMLUaW+C6TFCL5mooUiEkFfXJZs+yJ9UnwMK3wBs47L3uXa1QUyV5b8E2by5oI8h/Z359Qo0mKZuM1nu6c2dzWwAYm8GMpFKUyoWXgahckb6TU0RUo+hmwMIaOPsql88HDXAnkQGFIWSlQxTQkfna6l861OuEBSDkpWBtPf77oRcSigwH4OMVQPNAKEf+IOsDVgiBlDlxECtwaFGqCUGjBxeuSFUhlua18rYaoRPP0BEPaCh8YRYpZI8OCA5lbuA+Ckf1O92Ebu/ABDZbVUw7RAJyyZqBDit2Xni/dYKQlAm58yKN5jxez1YYpBhrfE8HkUNDCqek3K0bAkMMx4FCibAoajnZMET9ZNWbxKoAR7NLRCr7327VhMmhwuUAR3uzbE3OwkErvM18qZchPxqHUGXZRsrzbxpONnJRJr0kiFwGMEX6Kvdd6MEHB+mz+DVa5bCPlG4NN1KsLRV0PM7We//iolYRtzVzdCxlwCJH2eFzwa84cBAB5FTeaKn9CO7Y7bsXEzfex0TjWfHvsb+Vw1RMrbZTjZ1ia0/rPYvz7P64sdoCxuICfJLruXQTZ4u+Ede28IXheJ2s3AqmjDpowm8eqrG7GVrfA/zJ/A/TwUuZCIW5+HUWuPLEgKKbGITlEbGuqDnSQaDZYdVWpuo1oGCufgaEM8qjKEWHqzBMliUeEPTL3OLmMOhyhNoYaCepuF07IpoJnQ3ctD5qZvgJz/qgAdo+6yoDXmblrFTrmYT4ntszuNutV51SXRkDGsa+Ni6Ngo9wemklGEQPwdgjoyonVqXRdFsfSQQTIXVuMqRJbGildZGPm9PoxTQLhoG/e+AubvoQFJkz+S1nyDu8HWtXJgFsZKrpAylrxuINwLbyY9LBqVETdCtfpWhF7QvGVTQBqq8H8Cu9102reeKXVdECbJQLv74E7EhgiGolldYJFC54CQxLqaRkGTuK9yPwatcWuATsuAkgHO0u2UzhLUk2bFDvcCCOsMl4RbewZFGv1YGqSXIgHbXKMoVyZRzFTbwDUoKpAgZSoRUYOEXRyxjRNAjGffuXPJ/awY9CrMSKFgOvX49osn4tGgC2QMFT+ye451LxLimaX54Hvre2y3F3Rd0dIMYYgZm25GIHZPk7lG6XY8RazTjKfbk3JlMuIi+CyKtBjx13grWTs61zngkpOqTBgUmwO0KA2BkAVRsH46tZfgPJ6CNMG0Es4sFvPGBzHZPrE8D6yE85rgHk8maTVCLmVpV0GVvOeYoLDBEVwOkOeE4GtWOsscr5sqCO8xOnIbLqFl9gTZjEyVti7e+LK1y5A1MVzIn3FPhtShOMxiTBdGeb55JetV0QaoMh7inJp3uj7rvKvX2cnmYaJHc5MKOVLEQxGunAYJrEGCGKYVRUcChpdiB8+rAqpAtyd/BmkOwn9RpCruoyNFYDSuICsiVHStVbNG86zpX2rdmkUVVIfqzrZ1XWW9jvL8esKQhScpE158sEzdSH2Re2VL19BsLWiTNWBl2UfGiLoSufQjI9GTOXmz8yFNph10PTPnXKqC+vtaUeHqSVpp092hNnAAi2RWz//zvr7QAQoA71cjksmKvGMvwdA+LbwiNMq19uAAkAPmXUMXAIjMkxv052WVyH6jrUU9qXusZ5A9e5bDicGjdBqta+3qqdm1BDu6YNi5MGBEMg4S7T4q/BvKElgyNIvoEyN0MjmMaMamUCkk12Nz/EpJZMYf6GwDJ5UwtxOSTqmh1Q8XhLA6xaaAMaQCEJM2vQ6bWXVdH7HgvRhemv8JnSQLccMmc9Gt0vmZilpwkyAnyIIwcKXHdtVAa/4I+y44suWs/qhS8cRNEm0SbGOsG1rmxX54I0jp6lq1CSQWVtNwTxXuWJxa7TwU8eBZoFLOatwFCOy+kPfZgpU3C4a83oe8rX4/DImps2yUHFU2XBYL5CFJplcJ1aSaXuqBL/T28r4gQU2ibAx0o2Xj+yhB15tNQgOUjqWbryJC59JjvHTK1YjIU/xMI0FR6XShIIWCbpWxfuMEEDCX6NbxpqLp1jOuNhfUjTTtM+7IJkzoU0YgxlwTiBjrKGZw8xwV+QhIoWKbpkbX4YAxJzzkFWqJuO7PWKcZMVZEsCIsWgIN1RsJFpMZ1+CIESBBjCF3XCR49W7kRSXuJiE2BFTLJEUb01EOHjwY14MYza4ecCTUetGYzNj4GAAckQijKBRpVhM3fbbMQM1aRRhSkNdovC6dE44a2CZmSIKR6E3CfI5uj46gXi1dW++ykXIrYH2IpLko2u+ZWgsNgivsDEUqKmygUUi3tnlPt7opG3ppwZ09W0rcJ0tyqt6HRauM6UYlvIqUCtrFejxZg8Jl4UOjCYwZWMp605IwR5UVXSkrRl43xIxpQZ5eJFCs3Dq7FpEIsye1ZqEPgpRkgfadWdR0tETKoQhXlXXfEmEZa23iOodHCRoHFh8arTyQdnWWtal+xvtF1/TPtBWhiRyto1G7Pn+Gy/mHvf47CFDg5QXeFOF5aGTe3S8cY3WBdTdSyOCV6yyWzWcp89AY5H7qZBHbaMk+zaIdaj8dJslQrAxR17VZHPfV66q8LqLGgG1m7IzwxxeDFgyNj2+0kbFqwoJlLbybmKQHDXUVsIzZLOknC6CA+UbdDy34UmY2gAYN23dqwzxHgtRUiMYAmJU9BE1yBcpFM36DGJmkeaIRhPUaZXEiaS0eGd1BascGwVJpWcvwUkmA61YfplkaK6JCgjO7NyRBiPMcNSs0G2qrGYsfjSBF8Si+I9EapzlZjxediPUeGN+jr9LIzzugwiW9YSiN2GywvgYvUvLTrCq3gLBuFxmPsuJ5qKJAWpYpCcBVbvfQFi+DoZMqstQbCDnIM2CtIBTBCtqbx0mzn8luaA6P0RbINVjgS0FUS2FsdXIiRi2iApprQC0yR86lEz5GTcg1gsfo5m32CiRcknWcsV5P+Mm3PgGIhedRO8wluLnbbnPBW9sDwnZ2y3pmwk06Y5UyAhijtsHdhAmrlFGyONrOJSJRxXV/dglzBeE8J7ye16iZcNudcd1dvAy0fBlh1mTUl9oJZ1pdc8Ektvaa2YrLscwZYniwb7YDRlQvihbWtXickHkzaRnHAsklj8PKA3Ulxw5ZNi3vlA5DVCTBMjt2648D5RnUtAjO9XvKrjSCKiQpYJUoWwnYko54lrlVroSPEI9qVZ8leRBjtdpaMizWQVP81W3RnlLcyPF91ZINHN3mIOgQr2Sc4lkUkkF7ivGdIrtWvki6qetctl4y4SLIqQWJ4SwBCu+ENwLr1h4XAYr6XgGq7NRx5sQIqYqbtokCrPxBUL+hFqDwWtRagvRqwLRAiRyJtfUhk3cdZ22oSoUEJdGpEA8tSTD6AkhViwQve1VT4vTi+hovuj71VZCWWdBYr0oEXU9Tc6ZGFMSMd23NcnuJKTSPLJ1LYbJ5KRUO25c+7+sLbXVfV2I6FfZJeRIKibE8TPlKNgrrs8JBJbkajdvCnNcsmYllIhGufy8baYLEheQh0w3WMvBsG6PVMC0aLuSWy3SJ2mRKH/RL1Khc5IXOgFaLcV7LdSwNlXCOWuOr/gCFfURZM+aLdJllQ0x0EnNgkQVrdk0WeUOuPcQqbP8KOTYz6NDpg8hiY90zgjbnQoDCuSSLhqI85uTq7bfnVprgpCWcDMkMuS28rJtxWWkGV9DKOopYXd7UQCAHIFRv0MhRIvJaZcP3LZYg5MAAl8qW9SLzYB1Ly2h2Rc359POzln5uZkFtjBRcSJ6WMUjLAYIsgLbr6OcqUkNM7EEMkPFhtGaMy+xGs2RrzSCbUgCYHTUDS3aKbZb7rzJzigyeIKiaXi+vKnIvgVjeBs+spGM0CXJjA6bBMJOUX6ivwFmJskMBFAVABRhqkBdELu6cqyloCUs2KUFQxBhvZi37lCg/R+F2GAoBtAAlomLoMp4OJ8S+YioRxzy40Vugij4VvL3a4z/Xd5HVJC2XIH4qoSBzwKmIQdomjuISG6qQdUtEH7O7yRoycjwP+Oh0g9BVQV2C8lBQXUlk7zXHWsBUSxKs5BLUrFCclV2tlDVJ0SDTEpTaASBtZpfgKpQlHwKAJzycdLGPaBuNIiRM8CCdoxl6adDfs5A6bYO3BCo2xY40h6tKrtTzsIBC+VxxDN7rBzMhnQl5U0WqG6S0XPX/41lLliYqyMGDA0Z0RJQWJRlBMwU9FBsFSRStHGROq+ZyW9YVIQb/O47CB7GOzVZqRSHEc/Qu0K682adG2iVI24hEzZsKstYVJV7RKToPb76q7bleBO72TNVdkeR0pqbMsTmg/9U1AVkCutq34IXOUVAV1m7JYcFZOzd+IaYgCZ6WDCXplaSbNwVcAkqWZ9O4Y6RrdYiKtIfgyQ4b6mQE+WwNXStAhLKmhpZEFvGAEV9nJVUzVD0GT8yMn0NTkCD2++P+P/T1xUZQVJMez+SlFZeestTFOLI3kLJyjVs8G+GsV68Rg2GNb0GQbNa8MXTwpdeNuG+WQbMJizztBjAcFlyS37ycwJrhm0eIQaiahYdVhrkOisWyTVgI3yBxk5ZZ1FpVJWBN9aDHtyyeW1D2SO5mL9JasT1oa2HsS9dUTfnUNVCiY+HSkLY6N/dDsz92O3jLBlnH3B7UQiB1W3SiKSvpVMe63OSGkFj2UNs4etSv0l0EfqSigXI/APimEcwVuMr9dSIcoZX0DMq2cTW43JoKVrQmewYXZ2pdPI2s50GK/r+Pvy1WmmVpUG2lFZcbL+YpGRKUasuuA7t3ijU9I3OGjdw2GgJCYtlErVwHvf/2HazHNsQMaFA/k/JUKihA/Ruq+9cs2zQUlRtTX2SxN4DrAAEAAElEQVRjr4TMAbnKhmVlkryQCnsJJxY86Y8IsWDKov7JuWWIXai47U5uDDdWIa12VFyGfNYApaOCVcygwBirGLmJOZxk8UWXv3lKuL+sEGNVQzc5lql3LJAC4OUps+Rn+7mGZq4XFdF09IMciROSKnlAT2oIyBoc2Aa0LAcBsrm5yZo9u4Y0kgY4th4o9M6d8EhM7moorJcGbLOrOg+i8skqfJ5a+TIU+BwwFZJ9B6CcBCN5E7xsboq8qG0uHNG2gMjGiNo5kQVCtm4tED4vK3Qs3cU7WXuF60YNzdS1kKoo9Ky9hI2dnJtJgdn5L49kxKn69YWLenlAuSa2XBlSXPT7CglvyxIUeyaZPKAhLYu7wkXHLPTifC7PcwsoUMQmgubgQglpyqdIj5GZtfEhWZl21sa1yxe1OcLm6GoBlqKnBm7WTk0cE2uy3dYuI1/7nmhGhBoAyne18hoVTZB+wNcXGkEJhwS6JsxPSusloY2MbCKbiVntWoOrsivCrygQM7dUhYQZgXQG5iuJgi2StygzPUQJSMwE6xzkfVoKMAgVFW74RRdDHxg0R+0boYuKdj32G7/QstcsEWrltgBBN3pmqfWVnZaRbL8JDFzPjQtCGlip2kRkZCTwnMln1TWWxijKn23b0AxuNJMpDnCbadvQ6sDgXXZiMh3TI9dMq6eTydQADxzSfRLqiBrK8QpatoB0NWZIBjAHR5UAgHtGOoj/Z15X8FEaeLm83DxSUvUMFqsqBkFBjMy8xFEIvCqYet38oTC21nWpBOlULF27pBzDEGRBAxy7HjPrsz5IrckaeYbUyjOhZWoq6WTtu8RZJKj5ibEdGTRF1G2R7GffqTGhBAbpEJDfmMGRfHHgxaLDG9kwyxhl84wsaFnQcywEBjdvE5V4etNGHTdENEdZ22QmbbmeCSVH1ClizNGDoKlKVnuceoxKeK0arEiJRuZhhHii9LHgJp6xWs0Yc8QnlyvkOboyp4vSV6dbZVxKh/28wuk0ONl2LAnPp60fM4WCPEc8n3e4TCI3XkcpD80cvUPyeeoQAmMTJqzjjE4VRa7g0e8vaJ2LJ7Xur0yY5oR6iSg7kqaQlwAyk8gsKGjtZFOmUeDysmkoRjWiPKAmkoJQ1Q5aYhbUwLkjpvjQ9SKeBLVIIwGH4OrDshGuRJwJdQBihntyhDE0/45RbRpSRTwlYAxOzo3HgKwcEwAo2yLIKOAWB1TlungtQRdvGJW1bHUOCDMaz0RfnIQwbslL7WXjYyZwqgjK06Dc0Is6SPAcDto0cCYwkf+eB1trBJ0OJ1nXmVga5Kn1PBUJGlit343j5lw/KGpipZkEb2fhrU6sW/vLTuzwrWR7FlPDYIhHYA/MOBLoIckSahyiIIgbn5OjRlQ1UVNDRpmM7AgX91W4kIb4TBK8eGnZPLBMUROVVjAG1IPK7k963TofwLIWIqvZadTfsdxnIwPDWrF07Pyd2i2Cb1170n1EvtFEJunv+wqMhM/7+kIjKKb6wFAeS14tImc8MvtxcyCNpN0siSBZDKFZsy88N+y4YUJrSV6Em2L26UY846RZiM2p3KJsc5b1l91MP2/dIAwJWmYPRtwM7TrZuATcjhW66lEtIKjB0iLdOCUAmrTU6rzAo2zFj7E8B1fh6DFSq3USoVniL4IYRxy+7/6h8SiC8kmMkAk4qvSoORfpA5zb/STLVOzUv28O6IJTZdMkc8q1exDZ/XBs4W+ySr2XmmmSjXltx11mJW4KSO37Xe5Y27l5JmvntwiqjSnfjKws4NJsxILmunivkn9l/izGHmhkudruufXieXRfDKnpamsrT4vr9PfJex0Zs4xda+e1imzZTNvAgqpkDUY+y0Hx+aCS41WQACHniMM0LCzzg0qSxd4+q3NrNQ8ZqihVewLp/wcSiHw/rxyJiajfdx61kpJ1swQ7C2TRmh0yFEEBOfeEWSzti2bKbEiTd6jmNrRRNmU3M1ysE+6CCv1MajwPH/NFucA3UyegyzMeFK2wrN5RCDuuzcsqzQWXyKQ3JKyybrlEWJGRJfoqvWAWzx4ezxM3EDQ0+tGNbj8upayCHKFxSKCBT27vt069wTZtnYtVK6uPWobo+bqJnY+HEl4Z7T3GqwEe0QSMr+ima0tElKBowuK6LSk0xFgDikfP/kyOODwyh1NS8PLRcAfo5dpmx9fEiOyarYzEet5KazCkNXSaQJnku6LxMZlc2i77BBZ7ja4z1lzVkB1DVgGdr3i0BocJMGTucTsCfO7XFxpBqT3L/TymhSIF7QGIotE3pQcHamTK2xl41fnEKFeCmFwGIRWG+85tow3eKkrkpFEkb2UrWbnBaGXdNjkjglbjwBSSLGIjBMilpp2MDGXz4Zh8s+OBpT6qUloAkvmav8U2e5kgPO9Qx4A4yQNrEB6vCngFae2+kawXHYPPEXGXUV/1ElyBfUOmS/BauMGcFJUfUwgY2OdiPSf01yPmcyd73krgw3BU7g1LxB8PUcZoJVlBVmkvB0EZqpZ8OJMYy1lAt3gY2ezWbeYGXfRXLHVrq9mbFT8LslVrEqSnqLpCF5d4H1GuF4FFx4IIaPvxbk+YU/R2AHyBnLMSfFHJoUtWgzsmuG8Db2W84ssEcFLiK+Q6NIDx+6QcGxDEqloDRyFDy/yuh04gcJs/XcX8JDekCABq8CA77BPqSsYOfW316FRRx4jwkCR7TxqUMAQ9WrR954UhExvvheGbf1hl1ELgSZoZ5tsAOiTwUHEpgm6lWDCVCMwB92UtypcaUNAM1wCgCwWbMCIGxvn5Bh+ceqCSIxiR1B4/VhymAc+OW3edDcS45ITTfOUutYFE9fY7r9/C9DAgc0AXisuET3OHOka8884eH72+RoR4sqzTjIiG8Ig0mrxRoUiOI/IcMeUEIiCss3CiVBlhXjlmesYM0CVqew2RqFtgUomaY7QFtoOU48qaH0H1rr5BI9NzYhR1eA1ZMum6TGaiICZm3iZzRRrCocLNuVClLFM7xvAyYHyjOo/ASs3hQO6vFMaAUIHSW9AC5GtBekTuLy0gpq6RYtExMBPiQwIVqJyYvJROLOMwvqFtMQIkOOMW9JSVPvvbomZlyuuJTfZM5wjuGHktJc8axLStexExPdE5bV5Dup6Gc0Q6knhIdbq2JBb+1aSWEIATWWlTkG+KWhRocrqegfsO9XZ2YnqcA/KmImwyihFzLYG4BG+4x+sqRpmVwH0Rg7he9hkyi4yqgZCV9keSp+MiSHPcZJQoKB56MWcDJDkJV7MgsMTunxUuiqR01VWN7rZbCXSW5pDzOrY9dtB9JLKYOV5l58WBJAib76qXuAAAvdpufLbs9Ie8vtAICpM+0LZTagTqfAmNlj3LoIYGUKwtUmWo18Xi/Rrt+os0EtcRc5OhRQbwKPo1EpshNYz2oNlCJBchhzcEw7LtZcRsUaqVOIwXAPvO9jPlBcfGPkN43AxuKQ3z88Cjfy2jetTED2iZgyEdmoWzjnVVA6ql1bNHzpBswmr15oPgE7jQ4+x/eT958f2QsbTLWKod7HzJyK02Lsu54JGVoRftfY4E8eJ3WIyxjetnhuVRE77lNXwmI/Iard0P48kQt3tUIYuFZWN2jXpsN+Wzv3eLa/Lvh4+9I0fL+a7fvWxO5nb4j45hE0KfG8Lj7wqLz9j9snvKykfRscnczAqXHJTPvqQ5n15jIXCmR9LkjgqIxN5+nDsfe1P1+Kkt5vZ56mQDIpEOA8CsEmYExlU3fv/n7LIUvbGf7fyr/yxjRwFiwW9o5+JlY9BQP3hW/X3PmI0lQ1FUwNCPZmmvnzXkw+YZQUsa8tlHBpQ2dx4vPYt5Al8TTFpq4yeVRsu8lym+3qfU5sH3KfYWxzEzMUF48H3PEcjKVm2zkxI2t/nIn1nj7bu80eDiGg1ZtPcUPLJeNwGFP7PL7P4RP4/hknHSdUzLHzaY7RzhSeOj58mOF7mZjDLg1gZLRG05xMYz02vwPcyeXZ1Lhnrwckz02X+kKrLjLAJYQD7rnCcbs1lVlI/ep+81m349RyzXe6Ah0bA1aHGMz/n6QgcoIAiJVQ25uvvYIvQg2QoPreV27VW6mUXJ4I56gNfh4kME99Xt2KtFzAsIloeKejMDLPX/OogOPlzaZhOOYtBmUCdvCupVEZlsYMmOdLGwbJoDI51UfgYI6qKmT+ESpBV3JdDLvgU25wg6iZV9eTK3zZh08TpFr2HKOSrKkMlNvMzG/DE5DvLejEfdOd18aA7yX5bscH61Qr+awdfSJAyzsukX0rNykyWL0mDBDJLCWTaJR2ZuUYyp6rW0RnfFCKB+Dq2JInX1sXNjJ3yK9CoBJJwjUUtJ8z9DzeiY4I0NLcAE1MVVFqvpzSzoCQGsNtE2n4yQyguSraMNFrzq9dQVo15nhKFoCUUDKrOsz8GJpuGoSiwSlj+v1DyvU/RJfQwwSP3cHGDJWr6rMZTwYgzpgS+QNZuXDbVFiSGmbYGluaCVhQKa8+Wy9AOgzlEIgYCc70Tgu0kbCVagrzjOvbR7qMH5Hh0VjCXhPCd3lC0gdW6VEs8qZXQ3I67vTggPSYzUqpxHr/b4r+63uJx7dKuMXusAm27GD129FtkzC+qBxCIx3s24SiM6KigsPX1KDdjdnvFDm9dIqWAIMyJVQUms/KP/Gm/FHGkzB6SuIBCQUgVXYBqTzEfLXPuKepPB5gfEsil2e5PsaiklADS2kku6F8M3HiRzqSsxUrQ1Kcyy3gUl/5NuvJQFkfDnWZ/9muDZv1gZyDMY1STQJMnmacQdY95J2aPby9/DmZzDAQ3i61qUjnVdnSRqLqjztXAWhufS3C5MgtIkbdYHAvKtmKeJZb4oR3iosGaaS9m02ad7mbxKQz4EOU9eFYRzFP+rS3zESeNjAs0B6RQwPa2OEPavpS1HPEQn1U5PiyDqEUJGPUdJKtdFeEUEd9tFIWllERtZnS8RdDuJR5Dx0CDHqufkMuBHQoUgzw9mUyZVcZhOtZFhF1JlVLVP0DKrr0uRwfc9woP4R3Uvk3ghnaLIoRdlOHfuXVVtbNosGXgt4o70KiEdScwhAUGJNvKs9S+icDd7Qb1b+ZucdxlG3S8M0F414vHneX2xAxSD/rM8GNXqeUDLCJYcDSz+1TraIyMsLR04sXHRhdYQELcRXkLq9ntC62Ks2QoxucTwkdmVoSCaZcjkgpCxLApl+MbJi+vyxlO2KVqEbddEUAId+7XzHBRxascB8H0SOXtZ99Pate9i7c/j1wK0a2BIjd84PEsFyzJytntRSIIYI3Fp0GIvyq0M4xnTYrb656DnZdmDRfEWeGo248ex+WBJi2WnVj+dFvf1s9kd9P3GKVr8nZc8G8vGluPs/BA7L27nZtdu2WJq4+A16iXSAzSvGSXjoto4LM6rLL7LkD87ju1hy6aNdh3Ll3Nx7AB/wJhoBm9ZXq0K/So/A0woVZQ8CHAVTK3BHV4BIIC9NAMAqSvYDJNsdjWKCghQ+S8EtSBGMAIlE7pYsEnih2EmbhQr1v2sNvsSCDETRhaJcgoVQ5jFaG5xHj4E2ujQvsPuoZ13Ub6Nj2EJba7ZBmR8Db3n1iaDO0Y1bokmFU1hpeNu6KpyldxCwNYJ/dmJjaHdc0NalvfOAdkE9TdBU/TY97Icx6wTmBbrnz6PjgLblLHnc4kmRmipBC6nBdAaKC4UMK6M03NlYue+uAoGi+/StdC9N5ZIiK05pNegz4L8WdZvJvY9wNt92L1YclL8g/qMLcYSlVorEIZ7q1ivKjuW8/wWiKU3NjTkhtp4+74BSQSWvdM8CAjtPJa2GUzt3E1FRUWMGqu1YTC+SUBDkRnegsEnSoCjdo9gHeicCe29bsK2UAByQls7IMcJ/2shybLKotJDlDbfNy2bs8VcEAPhlVBVgy9AJsRaUBJS5jIygW9niQz30uQt3SsKUlS7v5LsMj7EVgtOVazlB0a6D0gHaf5UjWXes6ttTFVDCx05TQHYZfBQkK+qW+r7dXbshjkAhE2tDwB32kwQkunyqkp92CzrScYg7GViWh8dsqBllr+5KRl0AewZfDtLbVEnb7As4xwQNir/VX8XJEa57wWx0Vd3Hx8vVoUWJlEB6VUCbcSOH1URF2XHp/sgxDd9aLGyTEIXtlX1xSy9lqiOBkUYSLxbysAufV6OPdRAi4O2L4hw/kX3OoqSwOR8Y2jBDiAqnsTyEPaqNAoQHxILPBddsGkKbrz2aIHT4Ms4NSI31yBmV2BQuzRKk9qtIFZ6L1Yin+Wehedw0fFcHJ9OsXlN9DJ2fgx9D2+KE96Y4Q69BhPbvA1HCT4/2yWZS5BrV5SGx4hySaqgIuQSgSlgylpOSVW8S7TjsW38EYwK0gaCBTFUrPoZ724fgOuMQxH+iHUvJmJsNiO6PiOEqmUYsbJ/0h9dIVSZEBLjx26foxxFtmyvQx5wHjuEUHGdLrice1QOiFTRh+LHrIbyqBvuVCNyES5KrYQpi51/CBosjaEhjDpWYPIWGtxXjG9leZ53GeVKeCCclHBZhQPCfUW6j4gXQTnigyAD4RTACY4gVvUoSmdqTUi1v4ttzqQ8E1tPwABvM8p1Rhzlc2Vbm8eQOlqnI/m51U11JaC5yZJa4NMsHiYc2VVsNEvbhfmuYL4tqHfiLVRVXl0HQU/DJaB/pcoRW58UReVN0QZ19Egyb2KEuqnoXsvaTpPyVSxwyjLf4jm4fURVpCbuZc7mnXpd7TKgLTbCOTixk7XchVlca7uXycm2ElgFlLvsNvC+h++THKcT6/raC1/HkCM2x+ltFvRLxypcSJC0kQDl79FReCjhaoZxa2imR15E5f9D3t+F3LZt6UHw03ofY875/qy1/06dVOojIkGMIlqcRAiCYAUF6wQSxNxEyguhsFBQIbkQ6iYQQRKJ8SYEJGBAQY14EyGCIkqsgGVIhEIQESLxo8ST+jln77XWu953zjlG7+27eJ7Wep9r71O1t3z18W0csFhrzZ8xx+ij99Zbe9rTnhZ2yWkr/aHBi2N/bCnD4e8XlLeKSDqIzC5Ehe1MNDztWwzhazZ8TeqBOZ2vbrh+2vj58MPeEBk7fE4EuLwU9Fc724Gk0wOcfv3rux3f2EH5pV/6JfyRP/JH8FM/9VMwM/zVv/pXb97/l/6lfwlmdvPnZ3/2Z28+86Mf/Qg/93M/h9evX+Pjjz/Gz//8z+Pp6embXsptbjFy5LslohJ5Xj90dajkHVukJsITDQhuK3DJrrtkjPvRc7OBgQTOi4iQpvcnb5nlhCNS6IexqDKNMJ0voy69lsJDH3irkavOCo44pk0jmzntGLlHeeqDpT/pKXTQyamgRHpE+TPaAC0medEzcsGovX45UtA99vk+hLz01RMdybENrosjN892L2dMarnogD8vdDTdBkFsMhYs1+VvumEs2LimHEvLcuYsvdb5upQjsyFikJGj6mKKzHAtA3GZURiNsUlNM9n5oTHgirAi4oioOVoNBGoRHKEgXcohx1aS6Btl9H4cSrzBU8nGkHoevk/PQoddCzfO2EznqgsZ9YzexFFwjcPc9PAm3w5Iy8Vw3WlMW6MkPAmvZfzEhKDEEamewyI0xBy7yKnAqMI5rhRU266LzhNVPqFzYjg3EgJfrWfYqeFY+V53w9v9Dm2vKMZeP1YcZ/9y3UDD6MCcGiidPXi6nLm2F7StqDWA5kOitci0B+eBZdp0Tg/GfCNCov9rTgVHrWyYmmki5z66HBU5CxY9aFKXBAOhCat/LZlGGX2qND2M4pVhzyKVBCnWpu5OPvCBoPlLHUrYbdI/iTTsdO0e+kWyzeGApxprsxuJAuujqs+FSrWTxiq4XVrzJpJy6J1E2S20N5TnmlydTFdDYyY0MmxlEHwjfeaHCXEKOxrVgYHkxv3oniMYivEaaDRybfUDg45sXqq1jL2gT20lElWVvSbCNNmO2Fu0h4VAZ76u9BT2MjV29eHclQ9soNAWNCP5VnMaQAriRSfl/W6yPcFLBFKyY3s9b2C/9fGNHZT379/jp3/6p/EX/+Jf/LGf+dmf/Vn84Ac/yD//6X/6n968/3M/93P4X/6X/wX/zX/z3+Cv/bW/hl/6pV/CL/zCL3zTS2HFx7SQIocWPIuMHu5acj58YS07GetjAQBAPRsOP6zYH4hi+OrkTXQbkPpWUFThAQO92Msw8P2ohk/hLNy3zJGGR5/lXMBwWMKYRcmr46YMMYxQebHxWUPySeBIie0SrwEZTZUN2TK9RK5Yf3ztsNdXoiG6z1jcAGASvCO/pws50Ni9lKwoMbVhT8PxcOucmXgp5UXRzEPLqD4MUgqdfUbSol2LlFML1s8rGzKC3Iy51Nc25ZFjPGOBNUL8fDgY5ePBQVJbe3svjY5TH82uckx5jZEGjPROfVfJEQoHJLonKxKuF0WEyjlHJJH6LmoZYJuN9gRAGplMETQD7hrs2FCepcq5qyz2rRE6ftip7xIO1EqpcAQat0/Pc0r91HcFB8nhm3FNwUEuiqq9WBmhaiyfxkAiefXYbpEyndt2w7az0dy+VVbx7JaoxMwTaZN3E12GT8uOj9cXWHG8tBVbrzfOzEenM16dLtieV1z6SoQFbDxoALoXPF2PMAA/cXjCw6szGxKCaZnPr3do10o0pkhxVmIdHcb0E0jmjd8ODkpwarpUc/etwl8W9OAX2DTOzpLsfmIqZnmqCqIG32jWAsn+K26JdhRFr+XKhpLhyJg2c2usiot5t0icrJ96IimuDTM21uWpci0Wwe6xngptBvuwAO3E9+3K6hO/a0Rlz+NZZAAGoL5d2CRQ67K8FKIYqrZhJYqN8uUF2RixPtPhzjTARjl7SiqAJFdpOkVw0V7vIxVeVeWykPdQhTZRUZy/VzbAOnD4XAHB2lGftAYabVR0ny8XcXTORj7RI3k1HrZStqRcCtHbAr6uHkRzlZXfUxMk1kesSy/DAfQ7tqvwgw+7vkiU8mnJ73qRZsxMUSg+NKDiWDvaY+P6VbAK2b1ohZIoSP6RoydpfZfMP+cRMxZJYnZgedbetHPc+8e0Q34k39JV3cUmj4br797wdY9vXGb8/e9/H9///vd/y88cj0f85E/+5Fe+97/+r/8r/qv/6r/C3/pbfwv/+D/+jwMA/sJf+Av4w3/4D+Pf/Xf/XfzUT/3U174Wd0Zq4R2yZJWLmfA9H7yflbs+F/S7hvYAigppw8ZF8veLo6kU2U+dktIvNLDtaLlxUI0W2IN34vJiz2WkZ8I2nStSXCdSFKFACmQDq3RSDElK9OLwBxEhVRFULgZ/ZtlxRlIz7yKrPnzAcgVsVqjfbA898712LiT9bnWgEtGl+ELBo5iI6UlrTOv7SjIZIMPH3y7XknBs1tw7vWvbKHSE6rxP9T7qAXl2AFtBVz8YF6Jg15JN9bw6yyOrA1sYdUabHs5jQZZKe8j/B1rmkHGjvPX+oEW0ODwo/pGSU/sB3hiNbX9kOqbf91ElEAZa3apDZjyMXDeOe4qj7Yq4AmHJrs4ar72w7Djed4O/lEF6rY6+l7x20zPPiDkqBRw3jR0BOa3q+2EAtgfPjTBLB+NzXdcCOWxq22CHBr9W9L2gVCcxEJrDyg/5XUMpEsZylgKjOi59wXUn+hBqrAC5HiGMRuXZgrt6Ral0UN5fD/joeNbaJ5fk8XBBOTQJqBUclh2rNTiGLH1dWjYTHL8D/PrzK/huktrfsa5Ujy0YlT5tcoh4XcNJ6uB3e6B/q0TwYu1XPc/N4D7SBvsBSllg6EkAwIrkNFgzKaRyvWSpcsENMtO1wZezkdcivkY7yUGXvUl0TXYBXSmiZrxXQ4ox6ubSwaJgGwYHQhsn0xY2OHGBWhRHu9N8C0dsB1o6+IHSQEgjKOLmA1UNZd36XDKFlZUuBSkQlhwOoY032kRV99R5z0Fu9wIJ2HGv6GeKuaGppB4MVqMiq6j0FnoG5WLAeUG/89Si8uJ8zjY+52uHgSTb6KK8vKPUgh80xr1kj7WhLaK59FxHOu7gsCvvy9UgMsnvpw5HAV5ok6Nnk03cKIt2JaFYLHTXw24ZMqOQApfADeoUFUL9qP/LnuwPTM1vryOYG+fzCO6jAOCF4cfXPb4xgvJ1jr/+1/86vvvd7+L3/b7fh3/1X/1X8cMf/jDf++Vf/mV8/PHH6ZwAwD/zz/wzKKXgb/7Nv/mV57tcLnj79u3Nn/nwlSmcIgfFJBecjsuF3nGVF+z3O8rOtuMolMLPPhenPiKY1VFfSuaFo+y2bPIaA1brQMqxTwTHyMNlSkWv0YOVUmVshMDgejwXRsXFUR/2lOmnZgp/O6X9A9kBMrUFINMbWaHxsA+G/sPOiSqdk1AEjHRBCHCF4NPNdUfFyLlwDNZOVCiIxXLgspHUDclY+es75jnri2FRFUFE6pHXrk9lEF6bKXLs7C20dNTHfThO64DFi7pSe/HMPdsmlEeOThDuooW8P+6AqmuiKqUIxqSD5wkpR/t28jf27F48lxDalchJtJyP6LQ8bGO+aIGXO+avy7kwdx8OippqhbgSHFmZYHd7llG3BzYuBOiUBO/IapeDYqNsXc6srVOTSMhhjVTkPjUK1GYY1RMxn+GGquceVQHZLiDmihvq3U4i6/0+spLVqcTaKtGHJJ/yb3JMenYJPpYddaGGyst18EdaNxxqw8eHF9Slo09E1rXs6G44d35+XRvu6wWndVL8AvD5810a4tUaltqn5BMm9diSsvizw9JdPBwn2mVrJwclHVo+6yI1ZCydG88DpdD9SP6byTm2Y0s+mxfPSiq/66kaeyMiCJCAuqrCsNIp6Yu4S4eekXVC/AWDUH9q6myLsVHFtcdzB7LbbaR3bVdAJyQkHAOWvdOJSuSmE60okxxDpoKmVGgENCk+KeJ/fVGfoOKTnpXnfEskKdKsYWdtcrD7tNEWOj/9vrFR7EZ0JMuq10Chkc5XUcCfaMpmOHwhFF6fJ6GYtry+CBFWoFcSFSo4vFHFVKTdtxD8nAIdEMlM4nBcl4FjHHZczmg9km9YX2iTq3g9KVgHJKKVTrOUyjMoSmdRdieqPcNOBLI2OUhxbn9kwIKPOFAmAnJUNc3oaj3bSP99jeP/6w7Kz/7sz+I/+o/+I/y3/+1/i3/n3/l38N//9/89vv/976M1Gtq/9/f+Hr773e/efGdZFnz66af4e3/v733lOf/Mn/kz+Oijj/LP7/k9v4dvzLn6RnVBP3ZsHzfsr5iW6Kui4+IkTe4FuJBA2e9INm0PIrMqd+iLE+JrKmc9ekJ+yxPJm+2kQd8KJ5gWanQJBYDI/ZYQe1unhSVUp9/1acPqA1nR/bXnJYmSALA/Oq7fadmJ0jaWhlZNwHIxtjSP8sKThOEuSkc4AMnap2f+VNNIuDmgdMf+urHs+lwHP2VCFLK9+eLc5BeN8wPLUZPodhARK5xGpY/afU/Bp3yWdRiRLG8Wmx/Fs5St//DA5llCkdpJ3U+jI/JmoxzySrQi5kH8DtuX61ntBX4taqRHZyjloSO6qM6O0Ir+EOW3ijzqm4XNGgO5aDRS+2umjHqUElcfwmvvV/597Fl+DciQHHpufLiWzAnDDXi3wt4vyZ+xKunrjkFePbU0KiZ2vZ0r/LmmomkPAxUchLUPPZTivO5jVxnmaO3QwzEpTpG22AQjNaFNe98rfCc35Ol85L2CXX/d6QSkmqvSPQBQS8er4wWnsuFw2PHmeoe9FVx7RUNBLY5D2XGsdEbetRO2VrPxYDHPPj1mjpNtWEvPDsatG+4OdBhfHS9Ybccy9d8p1lP/JDRbWqfMfXPqQjSldgA5h44UG8xotCDLRml7CvCWmiz2nvIA/kL0MmwCxDVw6RktP2I5vB890x/lUugsg2hw6g+ZHIfNYM8L00niDCWP5SJbNaWZ/UBnoT5zcwuuSzt6rt1w2hlsMPBLQq5NaGnDcG5U6RHRdX0pIvlyvvRTR7u7rVBZn0yITYevPG95t2QKtJ88y6JnTp9FkNUBk3RBe8WSbF8kZ6Axre9qNm0NG8SGhSSD7688kaPt45b3V66sFk0S/fslNZ+iwrMFyf3KcYtOzzDg+lqk3Jdh/7NgTGOLrcCfFzpt4s4gmjVG2seESu+G9rTkM9nvHfvrhv7RPjgw3bB9to9ePeE0qFgjg1gVYtSnyrlSkcF52jmAwXME4rLd/rLALzXJyKg+0sp9VJ21Ox+90r7G8f91B+WP//E/jj/6R/8o/tF/9B/FP/fP/XP4a3/tr+Fv/a2/hb/+1//6/+1z/uIv/iLevHmTf371V3+VbwRxERhywpE7C3VOVcqgCOJrkfskLBWtq0M7JAxKRp2CNsvO98uV5wzij00KsDdeaGxiQMJmVvs4b2wIqj+/IXPGphK8hEkEqZ86ysOW8s+BpISXHxU4ufFWF8IhT91vJ5xXTyQhZPvTwTqyUSDadG2CcmEYE6046qmlbP6skgqDkBr+Pz34TqOYhjUWZ3jpMTM1tommCMGpz1NUmnltDBEjpVDIh0FWTMWMpxpvDAQGWTUcpUhnTSRTVM++QYyyynhPSEkgXRxfbVxH6YcoVRPjxMqDyTELRC4MkFKCSWwOQiEI6ZerZYmgFQyyrTkdoSBrT9eYzSR1LpdEeCI3MQfkpJSVufZ6VSQaXBSV5AailiJWs4PtkAQ8P7dtNedlVyfgWYANuEVSjpXpmrU2nMX3iHSQmWMpHQtlNbMyCGBFEMAUj7uRHiRxNwCJtBwq7+1u2VDNUctQtB3Xw2uMVNTmo0Fgd8ueQ2wMaKN9RMzdCVkLsmV54cZVL5Yt6tmd+AOOkObi8jwcHfNhY8omP2PilXDwhPZejHLjOkxrLAmxJhkEQ6IdZWM6JsuA6+iGnNLvmp9FfX1CNC3KqINfwt/gnxbVaLvxe7GJRaPPIFw2KdAqdepyrrOHGTDQjgmVTgdij7XJa/Fjo+0pE/fO6aSRMzFsy6yLRQRIz019ehKJCWcEspUzQbwgEc2wc4kmgxt0BqrAQGDiEOqd6132MveUSGcBadsy6C1AP7LStJ52vq/7WR63QYAPu9xxg44GGh9oV55/RtEDGUmU1ZFIc5v24MhkRPZA88BXz+atX+f4HUnxzMfv/b2/F9/5znfwd/7O3wEA/ORP/iR+/dd//eYz+77jRz/60Y/lrRyPR7x+/frmD4DBkYj94OgU7rkwIklvDpyoyZA/tdFgSbXp2ydNAjg8V0YpT/QA2yPfv/xEQ/toJ79Fm8v+SOi2vW5Td1ERuO472iu10T7XkTapzmhqJi4KXmuvGgXmlKaIEk/rvKZ+rZQR1gNffnBgD473NcWY0ktenK3Fq2N/RdITm5h1lg13ii1B2gBxTtf4bJ+wzC90W+xIxCdytdgN/rxkxJx9F75YVUILblR3gy9jm8oCL0QFsm/HXmDva3btjY6fdmUlz/L5kpon+8d6XntBeVbZ3YmLhRuAJk8QqK+FkYmIs6FYmymcSpRs+RHbH9hLUU1/SR4GL4opo+ULRThCv6LE0aeOqfAJ3WglUTaXAJMvSllpTOAgtHtVyeXOMnC/VPg9O1ybMbLuB0d7vSfS056XFOXznVLz2OXgdhA9On5Qwr6xGq1cBekasgNvPMv+TLG77ZFNFv3K0nFXBUA2D5TybTlojhlY7SKnJMuTm3rX7EQfNq/YGv+ONEo4GIGGAMDblxOu5wWbSn23vaLA8bBccLq7ZuO/vVes8t7f7idctgW1dKy2jwoeEFX5qcc3uP/4BYs1rLZTHM4aER6v2HxBB52S5J3M3YxFfk1tm7cLy7Td1O+La2p5V1DeLqjvhfit6sDeBHkHMBZOjrnIpeQTXD+RaNYb2o9oMNeOyMjUK1PD9Yk2zRpf2+99lLYaJHKo1MrzwnRycNM+3rE/ci12pbfrsxoPArkxW2Ow40Y7SRKrAgEf5c+jAzh470eWMu8PXZyKwuaiz1xPADf87RU3uPr5ShG1y63jU84lycTrF5I+0B6wP/TUMonS2bin/VVjENHYRLE9sKGgTcTmsNv1XVXLgA6beB3tRMTj+hkpBf3UB09NG3g2gQ2n7lyBBpKbH9RuQ5WR9r7SxmbQKPsrOxBBUjTqy0a1xZnWCaLyRi6hH8hx69dKaQY5ZO1KmYKswJTD4zVspKQMFsf26Y72UUO5qjVCUAfSQcIQbzzX4UABo0z8UhLlCimQfuy07eev73b8jjso/+f/+X/ihz/8IX737/7dAIB/4p/4J/DFF1/gf/qf/qf8zH/33/136L3jD/7BP/iNzj1XucRgW0NWvKRn2ob3nd4cpkjFbXAJdK7Ml8Y5IpI+UAV06sBOx8cwKkQyarURJQjyzY1TkcFNqZ7rWudoaCqry8/0mOCDF8FIA7dPNG5HBNtcNJL5j2AxBJNu0Ir4fhjaKeeY9xWX3pG18dGErmzTfUQ0FoPZp7GNsYphycWg82eEHlGTorg5HRYGfipfHBGN36IxMbQT0ZA/rOg05s0cNcyoE6BKgvmZTFHCh+M/bcwJ+wc0XTCiL33/Jvr2aayqT1L4ep7B2xEJLbtId/07kDlg8IeK3z7f6XnkmMeQiOcCIHUbbgl1GJVGgfpN0aSZf1n4DdMm3y21Rr78GZNgGkXZAP5WiqPp70BYNq/YW0niKgC8tDVRlcMknx8k2VfLBcd1lzicoyoF9OF1RKPCRE2UwmIl0jSFAsGKMZEdMTkMoTXEsn+9l1+engVAR1jruR97ohsRKbthCGipPJRN/kbJvnmsCcvfMEW4oUdUovy4G+3a4rwfzUnrGGTruMZpjZljbF7x9gfrEkD+TqTQ430L+R/ZIutImYYSYzbbcq2JWOu2T2MI3JbxBuISAnFp331C1sNmmN6yIVERYxabeRnnz3RrmfeR6XcNA3loOn9cg55BIhwRZAc6IgQi7ZoQ10Q5YrzLmFOJ1ul93yckDwxqZrFQOFRNOva8cNSSC+W4RebmQ47Pl9o0THPEYkySIxRT9cvr/ccd37iK5+npKdEQAPi7f/fv4ld+5Vfw6aef4tNPP8Wf/tN/Gn/sj/0x/ORP/iT+9//9f8e/+W/+m/gH/oF/AP/sP/vPAgD+4X/4H8bP/uzP4l/+l/9l/Pv//r+Pbdvwr/1r/xr++B//49+oggfgvZeNuXYqZBbsn8jDXJELb/2cktCXT0SkFenSqzM/qPp+HJUKgvKS1bHdU7jHLwXr24rt4wa8cKRDYAnVU8UzGmZRyp1kOFso1mMvBfvd2Bx8cel6gK3Yg5imRmL9xNp5P9BbDoQlVSJrh/cFl096EtwhB80fG+rnC/Odi8pEd6JK/YWPvT3KS2hqZHg3LeSzvHelGNY3Fftjhz1Vda4so6y2G8oPV3JPDhv8/cqmimuHr4UNosTUDzSknCUKJEemvK8DujXxGTYDzJJLsX1KQilZ+Uan8dDZFG3Rwg+eRDgHDkYfGqDjDxZcP+kob5ehFXIhKtAfGvprZ1v2+6l0NjaciQTcj86y6knnYO6REeq+Xp1t1COtchWb3jGg2YNKz5Ve8Vc7XNFfKuDuhl5KXo+noXLOAxSy63UNfUEazGj6Fcx9HHfOpeooL3Ts+0NDqT423DAi4UStDlxqtkdAZ5TkzYBHITuLM3KTo24FrMrSMzWjg5QdiE1pGOBLjkrrrOghebXh/3X/Hv/vnejE1ZfsTBypmx9d7/H+5YDrq5o6Kb95fkRrBad1z87GREYqaun49PAed4cNh0LuyVJ6fhdANgjcvaCoqujaK657xbZVtF7ExeFm0B9bNrsMqXbswWeYdmtDVtwkOnHHtVACZTmoaVxwfRTMbI9yRny83tV0s6+O5b2hFM6P+mLYPu5A6SgvXF/lucAftFssDjfavnoxtLYMLkbns98VhZc4/5tK26gNM7h4dpWGx5QmqeeC/eMd14NTTPM97XBTygRGDkY3DBTmpaAfiJzu94Ab0ZL1nWH/pI81rfT8/shr7YeO+p4VfGUzosVhh2U77TwqCAHQHl64f5T3NceTPBIireWZkX99X9Ae200V4v7xDrsULO8L9nuQDtDtxmHrQZQ/G8qbJc+BhytwkCOhZ2OXQrsTqRhgVA59sRAdSSfHgCvvn8Kdls5AierFY89GpOVpof/zeuN1nHYsP+R+tn5RBw9oF018H7ydQbiWJMLiSZfwu5b2KVugFIefOk2MxAn3e43hfYfjlqz+Wx3fGEH523/7b+N73/sevve97wEA/uSf/JP43ve+hz/1p/4Uaq34n//n/xl/9I/+UfyD/+A/iJ//+Z/HH/gDfwB/42/8DRyPxzzHf/wf/8f4h/6hfwj/9D/9T+MP/+E/jH/yn/wn8Zf+0l/6ppdyk68HMGrCoYkWQm02eeoRlc6ev2Pk0DQqea6l3woZAfKMMG1gGDDXh3m+rWQUGSJJ1L5QaufHealyphFKteYjV5hciYgQenbDzMg87lviOYmQxJ+bPOL4TRRG2gl7dtzeD3TOYGjP0Q0wxN2KNqRIsckgDQnmiPr4+SIujS+gvH6ZqhXq7X3lb4azBiQHICPXm5y85/2P1uvIiG40zPM8X45lzJd47nq9f+jaGzf6yN3OEeW4hvis6/l6Xq/HbzmSo5LPxKCoiMTS0RxORiLGfJr/c7SYpYu6jrmZWF9wg85F6T6Kj/TNHCHHnPjAEH/p+/m7lo5uiJjdcE4wlFo/PEL2vprjfrliWRjWBooRHYwB4Hk/wD9oPvi8HbDvBd1H2ii+b0ZBtzqdo3zwmUB6ms+NAYXi6BqC15LPOP6f3DhM/Cnk+7cNMJF8o0QV472Y6xrTm0ZxWTXjOa9DZ84juta12I4xl/Jlz6gWwJC1j3PJyU5bmdyHMdfCMQ9+mylgScRIjndW7GQqw24QlpSYd0x8QojjgsEHibmssfCJZ2UeYzGtv7BTPs6ffBf13oG4PYkEIu7P8xrnvQLADdLt4pPl61rHLsQydbAAydjP8wW3KHr8u1uWSecYzbZTz8sXH6hlOG8xt+IaY31HCjFQ1zi1T+efbfq8Lc2Ic+wD8dkyfxDj2c77csw9w2ha+jWOb4yg/MzP/Azc/ce+/1//1//1b3uOTz/9FP/Jf/KffNOf/tIR3mFyAB52VqisjvULqgT2g2P7bIf9Bj3IEARqkqUPAmh9Kei7UZzo2KhbYCDseexYvhB6svShaVActlVgo5OwPBXsP7UBnx+IqnTH3f+14PyTlnCeV8fxC7Kkz7+LuUd/1ZLrEI7GHroU4kfgpVJCX/dkHegnGcG7lpL1/b6T9Pt2Rb/nde/f2WCXmnLUWJyf/WgDXipbcF+OdBgqN7D1fcEmZr93p67CscNPjvU3Vlin5XAZkfa6JR8lHTg5Cn7smfO0+8bmVRJfKxdDK0JwjoB/vGWEWL9YsL+eGte9r4PEdt9hLwa87mS4ax7AQP2TaB8em/6ZFQfX372RvV+QPJryboGvYJS110QcmGsVnh5OTu3ULLhrI/csw9kffCA7c2Oulc0k7e2ayIxpXOjIAb4a87mnxmhECImtrO6xdwuwAy6xtvYRy6zL24U8lepZipgpwLiWQAhXOZ8/OjCyKw58tKG/WWHXgn7gvS6nHcvasb9dGUW9L2x0+LDRablGpYfBP1EE1Y2Ce0K7zKix4ltBOe1orSQ6tnuVoWKPHfI5yC2JxoEAsBSiHmtt+Oz4jP/rSMbn2Ve0nSXIgaD84P1rAMCp7qjW0d3w628fsT0f0O+uREiso4lQW8zxqp5xXISuoN+QaCkeVzK9szvvaRfxFuZ0fNaGtrE9AJ1FIUg7HYB6LWiLSJHBJVBwElU47aHDDEQVVXVY3hGpCDQuJNrDyC/P5GqUq8GPEhd7JmesSCepi4RbdmB9Krgc23DIPZwRbsLtnmJl2IVwOPVY1jcF7QDUF13rifO9T2kTtq0ggtdO4jSpOXR9X9BUEbO81wa6UD+lXAsaOm2MOCVB0LW9oj2qwsUc28dCZPeK5Zm2yQOBhZDIytfaQUTrM1Vky0V2sYIo+Gsty7dEtG1Rtaeq0MqTeFYrnZj6UoY6t8jwuICcktWx32+wpwVuRIq6eEYIPhr4TFvYUwNR1TtW2pQXgxv5ceuPKrafcNqr+0aZ+wL0Vy2dnehevn5Rcf2spTOyvKtEjj7aErUt37mgN6OfVcBqsU+pmrx91LJdS6TdyrmIg9ip63VHDR57RlZFhuNSLobeK/zVzmrCRfZwN5SzrvtAZLo8Vc7zxp5AX/f4Heeg/E4ftgdB0UmMDQZylIHJh8lIsXABAVps4T2mNxzhxAe/E57i5AkCEMeE3+mrj1JBecYhjWxa8NzQueGzCgmTNL+NzT0mozacQFyyb0rkYJtl88GUjY4NFTpXMM8l3oMLFzREVu2XikBo/EwyVcgfZ6oi+B0x6aamUinxHGMlToYHsTQ8+o4ht64x6kcSRJOsFc8j2gl0RuUeui8FqaqJgmxUxy9hyGrPlRABk888pJj5W7nlneg68+9wsoJ57pb5+zw6CBfParPz0Y1k3h2D0xFo2JxKMYzmjRM6FO9H08khmMX0oF1ttI3/8IjfMHDeRHoo3laUFZGYBfKl55N/C6nxVpL7ZX16LlBEF2hOICZyXgL9QSIQgBUkMfarEBQAQ9a+7Kilp5prICgAUIwpoSSrQuhL7XIkjOq01tPhAJgeKjdh4u0RnZYTRenqzSNuT+8lUZuch1/1/F32o4EE/piGy4i+/VIHXyRy9hMCEvSEEGrr68St6uM3ghALIDlVbqDEgiPVZIFAG8Y1Qr54IjkYaGY/KB0ViGXYqt2AdhvdM4jC2MwciYZE9Rr1TDAUZcWni4AnrqlHpeWMtkzr/cNxvuEaYoxDIJu9Ijl57aB7DqkIYHC0DIni9gWJTMEc/uFUnUi2fR1aLdjLUIeertcVOLnsRV8GguMLxM2xQWoN+xk2J/hsJpsmOxvCkC5uia8dbW4gGs/Ix3yNEuMYk9SZ2Uu2ZvBlPPuowqTujZ7xTL6N84onFNcfgbcnF+HrHd96ByXEvnDsqG+XLD/dX7Wc3LaRzxFw5PpOG8lPXPI8wdWIXNt8hGfP/2A4D87IBWri1F43rD9ccpLb1XD9rKXmSH/c4YeOdgSu391VY062PksCtdEEBBfExK1gebEUYPKDU7Ar0kpXyZ+rgic0M2w3arhcCsWfHnbYRcz3DpT3RFWWH64IUa71i0pv9xPJplenAToIHTBH/2zLBli+OJtYAQPxcVCGOZy1iNqaoTwtMlzcGO3jK5ZnXqffNSJgO1n9bJ5Gq2lnOlH91FEvoJT0QehJIAegTk29DnEy2+Q4aJMNJ7Yf+ZzXNxVJJpUhy9/cS/IByqNqOhvz9evbOoz1XlDfFzYt20qKmaUB3Q3lqTJqfJHBCD5RbOqBgOhc9X3hPc5GLTRgQhBJbPjlvWF5b0MsLYyzHBoLwrKB43sf5eHI8bP7HWVVObQ29XA8vSo/fqk0uIpWy4bB5jenHHhoKuwFTZoSfmYFWzjSW5M2Sm032id7tvXFKBkWd+RhuWAtvLFLX3Noq3XU0rG1ktoscby+O7PF/PTa7gUvbYUBuC8XrLVhtZ76J8CcdiLvZJdT0xobHLpb/rtdhaiIxxS8k7AbsYnYzkicyC6fRXvsrAJpQH1Dhd6yYQh7aXMrIoL2lcFQ2akMHY5q2A1rhuNv1uSQ1IuloNr2SUvHoJ61oUqLJK61rxHEANHHbP9kJwr9UWMrhYg5VFK/vK2oLwXtBER3Zl8d+yf7bSHBSs2jcBD84KkAneT+ysCt3XV0oRf9oQltGSXdswbVDUHdTbw1H+iQXo6gpN931DP5c+07VyGEFfU5vDokqdaODfUK+B11tXINLZ4VVwBQ3y5MoxtY6SbOYDmrAjN4eiHKGbb7mRyjft8RXMb9o110AaJPOEmIUfsE3FJZvB1oW0zilP212rK8VOoZPe5EbUMYLRzGc+Uf41woTQiZuCNY2AIj9hO/b2xgWh1YXVV/g4tS3ld9T4rHEezfUwjQqnOPBG6kEr7O8Y1TPP9/dRiRknQAjj2diXacvPxmmav0Q8d+J3lhiSzRszROMjWjy4Z5sTGGiGXUrwdJEaDhDvZ02Fh5kCMXCtilKmcMQrjRuyE2IecCR+iVyIhE5OMVAyouH0QVkd/2kihKqk5OaIGvnuBCcjAuA3WInx05W0uRtNjwki8hD7xHBY/b2FDDkYtmevl5jOZU2sgiZZX5zJ1GKJ3Cc7nJ+W4ixqVGwKZN1m1Eiotnc6rsZxI9ioqQJ1djK0eSvxKhKKpm0NzyveSz6kLCxti7SI+cX55RYzh1NHrNQLJkRHoZpmK85kSVSPg1rtCIVHzM55jL3WScIiUYaAmQ93qrkeEJVSM2hkahpW47SnUhAxrXpefayfuVYNT26CMdZs5ydUVSUUHgAB3tQBiWfoOWbF7RVM0DIJ0Vn/4d5ca1sAfUua+Am1IzRHxeHa94u/QUWAOAx5UpoSDUAsDWa1bqzByW+P98zNfUNbd3L9iuEsaKj0dE2ct4jtVTY4O9crR+d6GphXOu7CS5UuLdJFCIwZESylEk1FXOprXmE1pgTClWjMZ5q9KyH4agiojdkL1nrGvORWqxcx5ZM7YDEboXGyr7bfG1fvTsmxPVhnHtfZ1slo3oPB5/Vp0Zci10BVZ8z9AWk8K3Z8+upFSZIv3Z/gfnxDAUptcQOLNEg9IIypbtD0q/CMEgOluGM2S395ForOl84sxAYon5d9jKeWpp7fnCIDbSKqlF5TZSeo30AEDrWPafZcs9rycWTRL/9wLfMCrxCsCc5LSWA7EyZIDK65ONFkodRN2oespCEN1btl/IlCGLCAIWIlozgsDUgPkax7cbQQnoUekSv1e7bGlbFBFjy44syy33O3kNu41Uh8htXqmaWF40kE0RbxmbKqNj/b4gVXspLD9WFAJAm6bnZ60Z6ruSLauPP2TTLTxuiO65LpEdEyJi54juCQP6ysZ2oQ5o4SwAY+I5htMjbYrw9k3ISn+1j1LF2LwvlJWOxX5D0ouxO7bb6N+06V/lQCjqys1ZLPAaDdHk0MSzQ6dOSLvvKbEcUahLn8CaYXmqKnfUQv10Iwwu1KE+l1z0/b4xIlkZwQAY8u+qRnBdR7kW+KudqIyiEGuaK0IsLGSl1RYBoLHsD5OglwF+6uTPnBrF3BzZdh4LGxD2jza+9yHBNB5ioA9qFmbR7TidRTndO6MUu6MWTPt4h31yxU1ayripZTornukSTp3G+9BTp8C3wgZ+0jcpodmzcl7GvXIzdPRPNuBIHpUZgIedwm7hnMrJX0879V2McyjQEbgN2Xun3sjeKVnf9JlsHFg2rKWhO3DpC3ozrJOj8d37dzjdDVUyA/DJ6RkA6FDoc7sXXMVwPtieKZ4g0TYMyfxMPzkrecz47/Y8xXVKm9nVNA/1jNRnqas5XVFZejjiXrmxr09yAh/aSNPKZpUNqbgaQozLe0vp+Do5Br50+CJNJuec36Nv0zR/RhqCFRYmRyDKyENNNFKp9aXkBnn4YmhbRGDY79twODaM9hlCO30ZeipePWX74Tx/CsLJCYqWC7aZuCwMYPyeFTPlMq2HAtqcrIQiElFflPJfNU+PrN5cXoj6UEHchpMCoH+8q/FqpGpp50bDU6p1x3nzqE5tEq3TImXWIOBmN+oZlY+Ukq67vpj0niy5jX7HXnCYHKtoPuiqnvT7xucWrQBkP5m+ZwWSr0Sh076uHXakNL2JixmKwXA6rfVl9FLDwvu2i8ZEKEvy5/Qa08yWtsbvmhq3WiLFFCOUUOTXPL7VCIo9LcBpOB/hAe53Ijo5Pfi+euaG+6UygomcWcEo5zTPCRmEtC6YK0TAKFnfs6laREKc2DZEzuApRIYaHY7l2Ttw+UwbXytUelWpGZ6W7As0606YNpr2wIi2PBfKuktPIfPOm6G8LyStGlLC2tuAPNGUmgqkpTJHbY0QaE52beqxf9qvHwGV78UG205aIBc1VRRqZJu0IkLK3zBQpQk14iBgjPu5JnGvHxkxtrthoKOk2zZtLW4Up1tGVFeeC/qjj75KUd/vvM9gqyevBuA5iiDuq85dJk7RzIzfDajGiOkq5AhQ9GVMkxSnqFlEJw7CqkJQXJyfTOeFUuTE5YnUVRDlXBtIQqh5b0A/L9l/CXBtNq653kbeOjR1TBHymXO/3fO5OUAUZUYDAXJNAhE7yRlWWoOl35bzKbgs3jnPonoHAPou52MraHvJdAob+w3D1SeOiQlBOdSGvVW8nzoOQ1Pr1XLBUsbGUczxUK843t12Tj3va2qlUBK/46uO0DwZ1TyO1tjF2I4NfauU8W/lZv3RIIPiiEoVeGWA40bbFJtzSJPTbkUkQ+Rh1/Pg/OU5fHXsd5ZVM6lfBDBNvAMGbmgtUUqm6mLDb0qlROO5QGkABilNDT99dQK04RR3IyJShHKEky2E1I+8tugPFeuLjfA8f8uEBEXQBUzRelOK9FJSCNML1GhQKYWscgHsUnlvF/aN6aWPMuaCLAyIQKxX0Cac6yiw2JUml+3OoGbnBVMAkuuZNgK5luxiTJHeNToTsnFYZOcuxjW5hjQCErX0yt/ohw50bv5lMzRgKtdFrjkqhLPTcXI8lDI1pY5IwNZrhixtz8qmA/et5NhshQRhPRum4hl0tgfkOPdV+89lEmYskJL3KIlPkUqhQHivwDKaUp4pptnup+Dutzm+1QjKIma5zWJiAPzU1MwPQxhIkGXC/lliO74HAyPgk6prijNCBKgjAkYqofbJyaeJ2Zg3TAGgQ+emqgePg7gjytv1j5S/6ICJ1R6tyXNRhQEKT9Q8q1PqZUQelKuWMW/GxlCR6wsnJ2A+5UPjGnOMjuqAeWqoD/tIQTgSrj98PiFOMdYHR1FEUSbiaCIlRyEKgl99AW5SG9D1K0LPFu5Onog5N+qMQJQCYpRSlM/ug7NTpoZ+U1ULz4lUs82qlyB1xjkqbki22ZpAzyBFnBQJl0uZkCMZLlXppJMXvJyIQmIvEhE2BZViroSPImJZfaYBjsjcQtgpCMDdhupkjL9IckCcMxwUG05QhxpmYhhsN5SquS6nHcCNw5rcmwsRnri/GGMzoBR2bi4HdhZO4u1eqMC6MTXYRKbN1I64H+4Uaosy4NUaFiNn5dKk4zOlgF6tZ6wqQ25g75+7uuF02PJ1ANQxUc+eip6VQvMRZc8hbx9OlIskuxx2YCMPBWPYRpDQ2Jwt1TUXobzgBkl+E9dvu5saN4ZPsXb0O8+qh9Bs8uCgBXqxItVdy1kqq7uxLUHA8gBC2oAVMrpG7SEuByrmegQe8XuudGjZMNLpIoLaTll6y3vkevJjz6g/gsTYFLMPkMuhN2SwaDs3/egDFKW+2X9GAYQbspEgqidHJZALl9KuXYXCXEl0TRn4y7i25MDIocp0lc5VL1G8YEOcrTPNVC9EZYKXAiBLnUMLyCt1iqJAY66eiiapUcGUvYxib5L9tkhNVzUXjRyXUBvyLocwmznkKDnmwo6ydHGkClIvRTYvOEApCJg22pJmEHtUOsWRootgP55XNFx81hrQNSQROdCZr3F8qxGUvnBjMQDlzao8Hif+9VN6muWlpDKfB/xq8hIP08DGxruVhBL7EbA3azZtKm8llrM6cGoUYLvUAScuREMiT9gEt9pLTQQHCyHBjJ4vBS6Y1TrUYbNkM7nYmC2cjMrXt48bN6vzMmBWA/pDwzUikotQJMHHuTFe2VAemmDtjgvXUYFLQXupwykqYK79UiibHdGHYcjGi0W+vW6KphWpSHwtFE8paz8kvBFiVJvBV5GZj8qhyuncPgJTbCIIAvr/USmYl8qUUI+FSFjdzoWVAyeV4bklH6BcWTXUZWxRHOXdQhLzscFLyUZo9blg/2xLFKQ+F+yPSj+dCxEnE1p2LsDq6FtVjxokj8PeLyPPHDDoKlg9IGUA9kx57/a7rmqVbtg/bpmqMcNtBZDGxIERuajSi0a3Z/M5OChG6MgSRl9ZVj+jWr1TgK0EH0dooS0dfjCS8O5IgMNWgHfL6FEUm6Jz44IRNTFzIinVWXFzYmnttS9qGkgy6p68D2ApclrDQSl0KD6/3sG3kqTaYo77csWh8jPh7NzVK8w800UA8LKvaL1I/r59hXNSbv597RW1KyIvg3Bb7qlA27aSfb+CZOr3TgkAI9HRmmF9ofOwR+O6jY5570D7mJtOVssBsLOkCTSsy/tCjaBjZ++dhRtEP7gk110ltQVWtOmKPxaOSyht02HghIjqIg+eXgfqpdxU0pQg2/fhrEblpEf2Vs5KuxORXcJmvroIqCKD6084Zbx+SiQs7w2X39WwZ1Ukz9tDMTm4geJutPsuErxlKw1ftaEX2dMpfQuAiKgD9W1F+3hHv+/wWkhGfa6Zbo6Nu3eNwbmM5n3XIq5Mwf66w15Kdvht9wymyucrSgOaA/6yqLNxT8cgEZfG4MymxqPRSNB2A+42oFTYFfBLQRd/IzsKB/3AkRL70SwyyPd+VMnweRkND5UZqIG2NzZk9ALsdxjtTeSo9ceWgeHypmL/dCeitDrR/3BKl84S583QXu8oLxXl8xX9VctGq/Y0QbO/zfGtRlDSK4W4EA0pNhRRe0LsU9QI4DYnGMhCRMARSXTLXgcmDzC9+ZnzAQyotAxINHQ4KMxmQz45Ik7zUV4cR+SAl+l6w7GIcrFuRHlMhkiea/AeqO5nORY2VbncIgESVlomL99vc4TJX2mEeLOVQET7wIBdo1uwKj/K1W55FIH4BPm16HnFuLRhoEOTBQlT3o5b6o9ojLIplTNaitRONL8DZJSj8ikQD/1ONl/U2KcUucY3xJCGVHi0Se+ZWol+OugY4nziCzECnSIjjZ8ZEo2Bcx7XC4SS2ECCZqJr5NzmeRjz2OZrlTMUc8gVnRnIFdHztSxPn84f169Sy5tr3sn/CX5OlO3HdbnjpuQXXSXHQaaVIYP5DYLS8m/Ov3pDYKWOiZnjeT8A7Vbc7Vj2mxRPvFYMSWbtzhRNU/qoimQ7p3makJP4t+s7IWuf3ZZDLTfmdhAKC9h6XrYn3q9q3BctCAKJS3HHeJ6aHxQ6G8+hbBhia4h1OeZUlnSKSzdzXXJOQucUSTcRH322L8iKI3JNpmg8UEddZ7bJULoiIu9cR0n0/+B+fbovXX/0JFpehNzMGisdmFONcwohyK8GJLrhGvPs0DvZk/l55ZwVVyhQyfF5Xks2hVVPqxDHY9k/YKeWyIBNaEO9jueZfdEinavv5/hPv4nOACpSaBYcQnz5vkJNeDSRLHndN/MpEGgJ5YVty/tSQJMNFqOcPJ8V95XgzGQDSqHRKdcPJOJlu8GOnfFSNEQNftEs0fDbHN9qBCXgR2/Glvbg/+tzwX7PMq5R3SLyVAVsQzbcgh46ZX75sPqpUzhLJNSI8NtpPERcC/BcgfuG+lTRCsY5RDB0MbC78oYQmQ4vdVQKgYuraZLYu0X3ZizpemY00x77UDcUf8GeloxIIIa3Wx+VM+FAKaWz/NqB5zk12F54jRXAY0N/Ygv4LKGLzeHYUYQi+S4570uR0Jo2eHn8fuBX7KWmQ2gOlPcFXgr80yv8Ko2VhQhLuVKW2o5t9G3RWPlFRm7tJDRHSkeGqbyr9P4Lm0T2O8DXxsius4lZu9ShIbPy3vY7T0fFVz2nYOAvLKfr9zRY28dEuyIa2T6jQFp3cYpEWPXHnc/DNTeOWtBXYPnhyvLBQDcWIg/2UidVR45Xv+u4PKhcdWNJIfkGuv5oLnlsjMzm1Etx2KFTbj42zRa/6UQ7nha2B9gLcN9Sb8WgtGIYtSIi8EulHZ2QMn9k92+/VNilsCQdvG8XtLyfK+x+T3l73wuf4amhdY7b+vqCvVds1wW7V+yd8vENhr1VbBNCQgSlYWsVv/buFSO+ich0Xy+oclA2X2BGYu3r0xnnbUGX03FTtYP+lVU83S0bGALIFM9+pcy994KuVJ4f1TYhtGmq87kA5EUc6fxuj9wYIp/fxEVZnwz7NjYWEkzlBD1RHqFciGAERyHsRj/JKeoG2yiu2O4c7bGhvqup3RRoSzsSgfEjeRtF9nB5AfqJkXx9s1BU7ZkCiv3YgZMn+pjzFaCU/WPL6r3ryYX6ENExVQCVjfcdYm3lZXJoX3V0Ve31I1DfVaaxCjfgfuKGHjYI5rTrCoaW95L/XxzrDyXnvvC3Q0yu3Q/uBt7XRJvq52sSaNtRyNNOzgl1hRz+moT8bHAnJLa8SIJgV8WNuCgAsLwruH7WsqzYqxPFjDRyBBLi4/hWgIeG/cgGrpEO68cO+/wAPIjjsk98p7UDrY5qseB4oJITA9mEs8EfBqrS72nP6hPH2WBZmdpEYB7SFZXNFLcqvSNQwj64bw7YpfCcYaf3QP8rEZ1Tw76woWt/IJm4f4My4281gpKkz4gkFblHtHhjpINroD0vBWcSdpwQijJFJnPkKk81PMtEPgJy18aaXnZEQcrvRa+VmwgeukYt/JtzAon03DTbUzQalQERIeV5dS9R0pfRfNxKwMgR/fnIfzJy0d+KGqP8Nx0kj9+1cT/hFHe7ia7CQbrpYm/I72WzK5svEHldMa43kZfez/ymxiR4OInuxOcVMWTTrQ/RqX6L3NwgE8vtNdmh5fMa4m1CJmbkQvOAER2+xA/JcZwcgrz2EKybkK4h2jWNIcb8SEQunlfMO2AgbDEv4znF69MR6SNTHj0Rw/nxJRqpiCyiJ/2u+xjblIPv41oDXamVJce9WfJJvqrMGEBK3gPA1iaxM/2jwrFMSEgxR4FjLS35L92Z2qninVBj5RZ1+TDFE9fUnZyZ3oOcjVy/FA6MAbxdVyFIxvQPEEhUvB7jyIHFzZxIPkPYpPyNr4hAXdfh/GwgJWkDMf0tI8gGfj7ZIb0dv2Uf2MD5Z238HbouvvSRvozrDrsYCNx0/RbvCY3oqw/EBhgIkDg0swIuZtsf6HFwIuLyZFduWkC4DSemzeMk+/GBvbHJNtls5+PvCBDCZkDXUT4I9CYU82Y96RxhE6IYwoOI+gFazfHSc4lzl+mZxdqNNafqneQzCom+mfYxlGHzDLC9ZNl4lhEDWRhyswcGKhS2R8h0ynDE+2nr8LWPb7eDct+YP48ocGN5arSIxis261s/p+xve2wsRX69w1fH8oUi/zs1cIoKByCdinbfB3wYk0Tlyf2u36iuWiNC4qfO99w+KNHCRCDDWMjhGYPn9FNn1PBO13cceiZmWqwXRj/todNZebtQ2CfRgk7Z9LtGD/lSsf3EBrzaUI4NHlDwbsDTwvPfSYwnmhxufK+rOZafgvNhQoownLvXV7LNn3XNi/O6dxO5T5ECeN8j8ufv+FYoNhWpukAKejxbEuj82DMNtn/cgK0IPemZNy3va8LDuVEU5/uqwCov5UZZ1h93LtzirJppRkJabNhBko7S70Wlt2HEu/EcWuR2LqwyOHa0O0Z9Gf11YwuFaAymRU2RNxFeRTL0lUTKIA2aUnvR4DBROBmgvht5PSHWdB8lvkB52FWKybF3B+dCjoOxVQGA5bjrmjin7diZBgTgL3UQ8jqY4guSrpAFREM4IB13PzVYISck0kPXVtGvFde+oMPkmBSstSUHpbulVH1W9pzG++yrs2GtLGEO5ONUNtwvV1RzXCWjf6w7HtYrzwm/SSNR3n5U74TkfXfDeV+51l2Im9OximrBrLY7D+FAPxD19JWIXDs6+Rynjr5SIuHyqXQ/TkShsl19G6hZ6GzsHwstFAIR/JYQTOwHoix2LqhnUIDr7cJ5IZ2e+lJw+sGCemb6uh8du9DZ8lxF2iVy2B6JLpSXMmTjt+CKdSKfG9PEdqFNylSIG/C4wxeJvB2FOgBorxokZUMbeOyUgqjA/qqRR9NF9j90crg6tDaG1oZdC/ZHkXXfLOLoMC0Tcg9Z9h0IrNJW5oO3kmh6OBghRXA1lN84AKoqqu9Lpqv6iShPea60WUCeox+A5UdLOl8heW8vNVFju0pK4a7x++8W2PuFVZoPO/l5pzYaqm5DJd2OjRIUoZlVHP6wwz+lgKaLIxSVQfWLRVILrG61vaDd9SQEY+0sZsiAElh/VFLSIJCh2KOivL1EoUaQ9K8lRSt9cSzvKurbRcgbkm/zYzskf8XxrXZQsuQr8tsxjkGo0qaeEc8cXeq/o4Jn8rKjSiW85ynnf7MhBMqy9hE1ASP6tilKikjmw0gWU8QVqZqIGnz6LnivIVEcktLjJBgEuyn3O+e1M0KKcSm4kTNGjEdcZ/AXYqOXt+/B2YnLq0jmeeatNUZZdt1xozuArioGpYUwOXHBTcnrUb45xyKiphxX3CBMmZ9fAmb2hFVvEAiNucWmamDqI8YL4zPzb8Fx2/BKzy9eu2lWFo5gRg+6xpgPMcfme53QlKjSSB5VRKNxD5MT4BENTtdmipDTCYlzz88iIp4YP6eM+42Y1RTJ528ZN4Mci7i3Juey+Kjemcbdp/Htzt8J/km/mdQ67eRELLXhsOyZikq+ypSuiV4+xW5TON0NS+k4lP3Lomz6zg2CghBom8Yh7m+eF0ZjjeC/BeI1jRd0zyH3Hus71l10iE7Uw5FpFQC3PAwdIVtvcsJ7kF8dk4w+ht1yrfkJ1YnXQlPJ5mfu0+9gslONNibRh3hOUsZO5zp4FDOaN81frz74adPvDZQJqQOSCID+BKoYSAgKy4gBprOyFUeMtzbeqF5KGzIhikzBTtdosmeB/M1oqk12tsT4ag4d/Mu2G8iih6AmxJgE4lp23FTcfZjyzrT0bKPSzk/IZWQMlK4vOzKNYw1EXjRXPPY3Pfcv9Wm6mXD8nOvek8cUKE8fH+MehVv06v/G8e12UByoT6yQsRC/2UuSU8ubBb50ogyK7upTRX1byaSOfJukl7PG/NhY6WEi/EQ55a6c6KHT8z0yoimvthRp8gNLK1m3znxwChMJAqUiZElHprxo8m20WlYd5WGTkWEJoRdGIPZcGWUdiWrUd4yk+11PLkB62i+syoEib3uujLzfrWSVr+SU4GGn196NPIJrZcXGibnF5V3NZoZlY8QzQ4/xuVSRjNTZsZF3ct9Ydql6/jAwfuroP0G56cMPK6MoiQ+VqxGlUMlv/2hDqlJuJYXxQhsmCFhYnFVLV7LT13clBfBQwIUavCDH6J8jo2RPS5KU+7VmObNHeZ6EzgAwL2vI8cnqGo2Ji/sRkTQAclWqCzWzW6c1nJbQqAmS8KFnVVN2Og6HLKKRpWffD7/TnJPKb+ilZL8YRzZB7Fetn0qyrN3v8K2gPa0poe2Lo4goXA6Nz1U5dd4PrzHWQyJQxWGzhZkUJAOBObeFEbkXnNuKvVU26esl0Y2CoVlyWBp+4uE9cL2t4okyZADY1AwwqnSaGzY1UznVDadKgbYQgZuPYn2QZP32XTuyzNmvBd4KXEhCP1B4cXnmprm8qVje1SHYFt/vQ/hrLmmFAXi3Ejm4jPLkvgCHz1nltj+qmR+0cRvQHhuWFxFaG4SGcAz21x37Y1MJMtHWshvaq4brZx39vuP6mdaZCzU4dCxPnCPWSJaPppqhEWKdr9sm4clwYg6O9W1JvSI/kZtTnguWd2U42jkWINfjQu2TJt2T8qK2JNWxf7qhvq2oTxRzDCe6bAM98uCQPDa0xwZryDUf5b7UycJocLl2BFG1noWqnIu0pZqUpCGURPa0G/p3rkkWDhJ+P7BdgR97Ogf94y2fUQrCuZyDQo5jPHsPvmA4o0sHLuRs4CzEJtR1dd+xr0V7DLsUIrbPC8rTgvJMW4qHHf2OsgunH0iscLe0Sf3VTo7UtaC8I4pezpapxX6SjYk0DrinRLAYlUDlmahhlC2Hwm171dA/2omciiaQRQpf8/jWOyhZt6/oJHPmc3RSPSMIABnR9BU5Gefacr+wa/ANc32OLIwTy1VP3rdKmFWpnn6tyXvIZkxbQX8ZnGSvLNm1YGwHgTbeb9wM+3F0Ms0eEeqim+28IyeriZ66LyFTXSUaBqgx3xSBN6ZXMhKK1FOUvobIUkRph0GWi/46GSEqX1kahgKig6JcR03Oq42xjuuvJMh5IDbA6JY65Y4tNvCw+dIfGRArRkTmADbLFgXRbTbPpWZY4eH7dC9zrnnIc2vM5Mx4RH16lnCInDxFkYDK9MqUq7Xb5xWH0chHpRFf83FfSstEJ9BssT5zk6D7iLF1OexxnZP8dqJamN6LS6nT78Z8UCTOuW2jAmlCizxSR6E1E+fTmjHNNRefI9AVL35TXjyqeW4NWTWmZO6WLSsKAuWoE1oSKZ6KfsNLCfG3ZeKlfHj0Ka0T/JZEdvpUjaQI3jTH2x3RJJemRJR+ZgPTPuZJpM2GRDhGpUZMs6k524jGdQ1hs/SSF88eOvlijPcClRrzcxbq2R2JOPM7kJw+hl2I9TfZ07ieBJUVOZuIriZeUqxDfmey03HPHmMn57l6pqpy/QqtDQTHCxLhCHQWaffLJB75wbPV+LPx3xi7RKdyD0CKotk+6YQA3NQDOdN4BV8k10A4Iu9V6BDk9A9QpGy+d6OxRDLvrT3VuMse9BWjfUqs7UCrwsHR2IXUvFfHfvLsS9frGNtAsVPzpnr+Rj/G/ViSZgGoCg2pyxRzb3BX1HMo55iNsZj3mK95fLsdlL0Mz6xAXr4NKE2iSElA3W0Q1goRE3/YR/5NubvyVBN1iNxdfS4I8qxVNkjChaqH9lLRX+1qn+0jz7ixosiaoT4V5iWdG2C/61g/LykoB+kIBBzvUqH1x51chd2IdCyO+lS4iVRNvKs2vL2wzPjUUmQIayeiI8n+8lwYoQvCS6n+IPpJvMzO3Ij80EdHUUeiIZA0s13KQAAKDXS56F52bkj1PSt4yk6p7jmVZkbxof2jnZNYjlF/YDROpUVkmolpGy7MMCSLIktbxL7XIl/eVlZ3aXxN5dO2Wbakp36NA6r2cRmURDdW572GgxsbuVtu5P2kqqKXkroBCZmeGQGWCyMhbAWuMt2EYnUuu98H7A1k6sT0nGCgBomD4ngGlguHYybInz09PJ9PXvtWxvXfteG8GKi9YHSg4ty5IXU64e7kOuFa2PagqERbm1SgUzg11GMbYwggOU0XVsDgSun40Ea5NjoVe6voKDfaJR3GFA4cS+n47Pgey2mnmNrcmfgDB6WY41j3fK31ggIKuAG4cWriiPPNkvubSpNvOnGHA64A5PITjOBdiEqXVs76pqK+yJir+qy+kF8RjoMpqp1TcxGdRsd1SgIQBejHIWHPTR1EEqLc1RmwhXaHnxq1Lw6OwxtL2YN6Ljflxss7U/8eKTcHMT7R4z76aAV0L35YuZgaEnLjDkXWftepDSKHjBL/sttKT9WLUXPkoZHnpjVEJW5y2QDNx5WoRj95ijv2E5vbxW9sH2luamMPNKvsQlvlvFch0y5NH6/kTRTxcw6fjy69fmqJaPAFIiJYOtd19eR9nH5NvKS1oz7sUhq3kQY6kqNoUqmOlI99ek1V81R+le0CwOoc8WaskWuU0gxHojJZRvxaUNbasX+2Y38MvRxxFmWrXGKjfs+9LhDs/eOdZePqFVSfiNQTyTEsz2qFUUdZuC9E+de3RUJ6RRpgQ48nUpdf9/hWOyjs6Oi58fjKfhQJ2yeaQqOdfAjDaHK2lSSWAiARU4bZWxECgVHu9lzgLzUXNsmwgr7kYdfzMPxBcPOVkFl5t2SUYBEhCHLbX3dCfJ0RQfJlZJx8l6FbnBtK9RRNyyhWm6hX5WSbob9dE9oksVcOzXH03ci86x6TTtcSvxcckEBDlMIK3kFXWWzZGE02kTHtpaIfPaMAX/Vbnefq54WVHiohjo686WiE4yjRudTkmKKPds/x9GYk1CmtlbBw9YzSTBLSHuJPzdLB+lLONXRNJtIqPoy8q2f1QpboARw7OZFBdEyUYlen50B0Op+bR4tzoWLZeDGi5uTlkKCJXQ0vHQMFjO/rmj0qgj7Qg0jxNiBRLI/fNB/VSmGQ43fV7fSDzAi1HIJ7BSEu81iZ5lBch65rdz6ra19Gjx4ApfQbAivA9EstHcfK8uWt16FLIjioe7lBUAA6QU0icEz9qIpnuokgxMY5+PfgxGytwi4VexDaw8jKQCcKulm2UgDANaj1FRGnOTL/H6kO2oo+UC0HeQLy+SiwJrshO2BuQ/l0K7SFgbApXUx7Yoli9IVcEfNAaZCVdO0kdGfmfQC5+YQ+SkTQXF9A2dQcDhiIh/O8aZsPci5qoD6y17KRqZYa9+5c++VimY5JtCV6nO1FRQo913Q2sosjkNLVSVbXemdX+SAgC004qJOybHZXcUIPlWUJ2ZVzUWpM4yQ7FEUHl0867d/ODtt57yk4hyFGqQC4Hzv6ZQQJSarV/Au03I9NgVpP9CYcsb7S5lkj2d1jru68h3bfx5xNQnBhsDBnCsSFZIGID+QaoxS5HYTSxDW8lNzvwsntB+1PsoUhPpqaKV/j+FY7KOVq8KMPpcADGyxFK/CSnAct2EMfcF44CaoeCVtVLzYm0s7N0BfW0Vun51iFsMDIFYEzNxhGqVwwHBhJvPcDeQ/rm0KvW6QoDzh47SifXFClzhp5zxsynlq594Oz9XagPOGgaGFHaiecsPUL5rHtxCqm6Mq5nPaUrQYYsZs8eDu1zH3SQxc/51ro5AhdSW6FmmyVzZj7vqf6aX0vzRTdQzu4yvlobExwYLnQM49mZIGEYelUmnzWM1YawbaR/+4PLZ1QHNQ8MKICRXpFzf6KqgB6aBIEMdkwwbUaD6E52Z8jPjfvu9U5hqq4ySh27aOp3kEy4DLAAYOa9C+S5B2VMOKPJCTaIY2B6f+RZoi5G89QFQPlpdyWPi6Rw+f3s+mlC6kJbo1+czkMIcCE85vB7neObRDNjY6GhUOG+GzhPjGTqRfqtABAOTT0XrjxV6fuSKfL0LxQNTaaAWKIqRVz3JUrrDiuvaYcfRBiO4zNBCPtA0fv0euH13IsWyInXyozxkjtNBRqtgDYG3WDWnRGnkTRktPQMdKqU6qyKy2R7wHZh8aawe5aBgxBarVwEPS82NNG7wkBAZCCYOVC5zHkx0OvKRp8dqE3fQWFthxjM9cG2++7GhvaKI2PZ7+M6Nk6UK+WnL1ylZPlyGs2pVQWNV71tXODlwPtFani3E9dQnZlODaOwdOZNkjb1N/MxzrCVC31oYy6qdkg1k470VhBBwVrHp2NHWkz/MBKpqYqxGw2eiS3sJ41Do6xoSsQst2An7jA79T8rxvX7oGOfaawGu+/yrnCUYiK5k4g5XkU/qkS4USmp30Uh6wOe9j5fKKiMypsjrKHmrvJixRCEhV6IVVBRLclnzPmid+3tGd+amkTl2cpCx/F+TSIK9nIvVyc47fZEKb7Gse3WqitHxx1E/GsA/ZM8lCfkBIAXBAx0CBKYlsdUOkEQ++PJGY6mCJo0dJ6pVjO9kplhBExAkOVUOzo/ZFRVeqQBC8EwPaRIprFcf5uG9LMG0XFAs3pR/2GvOB0IlzRdkT/BqQkcTfg3ULDURxeJVZ2rxxjCG0dO8qbBfuUOkEXhH0cEv4AkuRnQgocigTNWUar7ryR523hVSv/2u40tkEwdsG/cqDcwCjo6GyyJQn7jjqqpBZ+riiVFSWELYz8lXLyWACcq0SwbDQeXCQ6ZqG4aCTSiguAVlN2PojO2HWP4tv4VnQ9mlcqnbO1w4SeoAt6PnRGPjJOvmo8zpXGAcPgZ/O04KUYVK5n8NqGAxMcFqXBomS7PEtuPzQLXhiidvVsQnXgMmEFMR5LSwfYVcUUDQFTuC6QM2cqqe+FpD45xK5xL2snN2ZCIr0ZuiKlEtB25+utFfStotxTktI7tVJ6L9j3miRVQHwULeRi1DW5qxuWpeFQRmfkCk/Ca3QrDiG2pXZsvmBrNR2ZD1M7wEBaZk0WKtHq+g6OKjtBsmBPZzLL+QEKZh0UnOQaHWt4e2RlhW1CEiS/nvZkN+xqslnk1MS8Cie1Phe04the085EFJ2oxjOfk7890FEWWlI2w/4wwfLFgUK+SX3PdZjVF+B0D0E3X517oZyHaGJZmjg1cijanUqeL5q7YaOMtje5FRNpO7vpSsgxFEy9aD0qFbi8K2i9puiimQ3pAwdwVkn0QYR9tbQob5ds+udCZNOmNorHudJnMGB7zTRXP/UhEPno7BL9gOyYzHJw2u8Q+bQfHRm4uPHZVhdq4MBeYe8XXttLQXM1+Zz9qmMnyf8xHF9LtLdJaDECJ19stB5Zudb3V/2GiOqHcR6vTql5fT7GoD+tfE0FD36u2UqkHydkSo6SF4ljqvVLr+FUqx1EkeyHC+0tkOS/jwasX+P4ViMoNPLIRmflbJmSSQdiGtQ4ymajKV0QmeKcx54S8cuz8mjR5GhRpY82URSn8Zpz0wVqM64HGrnaSIU8iBNRHHi9MSIN1EN9gBARbRBRdd4kl0Z01chXsZjEDua7wysvyLxj9M2BA3bo5L5E6iKObtpw/YbLEFLvlIHnZmhdcK82V7YXH2kfi7SBer8w3UB4MB06df0daSRW25RDG50xw8FbR3SZ0cpJueZJVtuuZWhJqIEYurHCRMbQmpG7IUa5hRRzbKQhUGYQuRW3ZblhcJM47elc+NphhyahNbAR5LGhqgNsppxWqWVOxLYgDYdU9Ez4DZKtxXlaRNA2ODq6fzYh6yinJhn/6R6VBoqx46THiFDLSMdZEOAKBtdkLyP9NI9BRJIT6peib3Fuvd8jbRlD6nQ+ust5CYdgmpsVo7nfag21dqyl3TgzcY5QoM3vlk7ZepBou1pLVCaItx3lBj0B8KWSZ188lXHLWZurNilTlO2VWichez4QhWljVn+oEBoc+iGW6EN8x2QuIvUXpEY2/jNWowXxERhVX0Jt0lFZps3o1EcAN6Ek5YLRT+gw5ka5Cu1VOiv+1EAWhfAASARxJk7GOgoEJsp9b8ZWjnAituCGR0SRH/bKipQaYx/PXdwLIkkl+X85FwuSB5Qp47DpSmuXqxofRhpd/c1CqqCI74GVNi2F9oKoL7QdS8f6JHsYz9iRHb7hyAaERRVMaXfifg7SXDqOICKKA7JJbTPYThsXhPFMZR8Hsp2vR8BU6FyFPYny9eBK2kHNcDV+JTIK0Vk9+DGGsT/GMwsbFvtu2DEFxsGV/H+M1D0wuCE4dLYSF0SFKlGse4l5PRW0R74esvhZAhgplCBpFjo7l58Q3BelYI7bVt0AOR4HGY2nBf01SVF+57jRZZkWGpqhPC3AM5vmWXESepu84cUZoQVJbWHL+hRui8lyKfDSKTUMqFuykBBV62yfkbhb3pGg2+87vDu2jzshvLeL8qHMb/q1Ai8FELcmCVrdsueOdUN/2NE7I0m0QB2QaI6vNiarxJyiV8j+cWPqZulsfrU4ylvyeuxHhU5cRA0AHUItgqhQKk8F/ZVn1IIOlDdshtWLwXHbyA+NpdV91ecvNfk86RAmSiKDufTktfB9GTjoea4Ts1+GJnK6UAMwP3RgU0PHYyMHSfMFq6PXdrOph/NDAbtCFGVxuA0D0Y8t00H7Yyesrfnp0TOjqYRYpFUKxen5KLIEgCi99o1pMStsdtiLw6MCpYDoHoBUwN0K0bbi6JdK4blQ8tx0/zLKrRWU045eWL7eO8fZnQhJPakcWGhIlBnPzgJAB2SxhpNE2QBgFw+lasfbe8H7neI6VYgLEZSafXjW0r6U2snl7Cx53lrRd7iL762iPhf0j/ismrhc5nr+71Ya6mPH/tDToYDJPsiOlKsBZ0ae0eE8Dfza2WTQubaLOggEybScK6tsOrDfswlfP/B59jvnGgv+XXGmkQ6yW3LGm5pxmjb1fqSsfa/koNQXRu6BHJYL5fMjWPLqWN7WoT/SjAhtBZanyvV17MPx1jDX54L9VYMXpdHl26QKtRE56ofBdWm6h/JuUWdzw/V1Tw0Us0hne6ZjymVqe7KY0kG6RpFqsZe8Rl8AayzLRh/BLjoJtfWJQVwXqgEDcGroJyHbWmteVJW5G/Z7ISni/dmp8blsBYcfVWyvO4JAHiJo5Q2F3dwMvWithQ10XrPds0jCzhVurkodEMl6tQO1w9vCtLlBpeOcC3ZocFUXZco5AkgFxR5y+iIvw5HND0MGw5eu0uaK7bWrsGNQGdKGGp3JdvKU6WDquWL/fwpJFsAoX4q0guPGaweQUGkSLNdAQJDvA/pezJ3dWA1zbDciQdloSVGrxWKrGF75XL0AZKRq2mAit5/tq2fnJaLaFlGXJ3qSktqGEVU7RgWASvq4wcmZiKaCOzuaxnX7scFqTyg1vHw0RTnBV4hSwIja9V9WEWGkluJZYETKQxvFEkUBoDSSNDLyM8jcdiIH8VjUyDBFrqBILTb06kkYzGxdLO54dgEBBxI197WIeRC/acj793Cy5ignIpooee7T9U78oSAbMoVnI0etxR/plvzN+Rpu5qXf8DtuuB6BeMV3q2c+OVCNm5xvPM8cXL/ZSDLX3Mp4hoZR/TP9lglZm4nGsRmWheq1Nn927Ql9D6E2S4SlqYKtT4TV+Mx8rNZQA5HEILIWoyN/7V+GkLe+pAM0q5t8qIMSv8cGhiVF2hyTPQEYRLicPacdyBYPH1TkpKijnNAQ5Ipy7Jxvik5TYC3W1cIS4misGY51SrUDQ0ZhQjNybiu9ZmEr8lyyEeJDxzp0ETUpxoaBBGm9BL8EuuwYbpMaLMo0Vhbni+vxYUNjYKd/e9icjmw9UoTO0gH32znoGIKTrvUf3dMjMHQkEjjvETfXuIqPEp8TklpisxbJOEQdZ/HEdLKEaqRzGii2uG7heAVajILkhiXSkpV9yOvMuVqdn9dzT3SuEdEMift4/qmULXttbpPAmuecy2qtmEPzkphSfZDGVe6TKZ5pX95LfdjEskN8Ts61D+KO3/L4diMouaG4ypnAstxusOeKfkdJ4PqOfQXsYkCviVKkRoE2fd9FuFV6p93XJEihONbfXLC/kgd5psRxuSpfvyEbzGVjqkjzaPL5SyUhDkD7ZEf90aIGTn2Ulr7UTFN5RMoAyjNzptHIqr4Y9k/2bNDE8tAd/a6gvK88Z3BJNgo02UYiWj901Fcb+g+PLOu7FEYXir5aRCDnQvl2NZkzB+yTK3BQc0Gjk+EAEarPNo7ttQz+xzr1cwlYcXU4nJUeoOPWhTi1EzItZmrdTe5GHxUkwEDBnOPsHTAv2B5bOia2qDIlROiMnn4RmtCVLvGFzzOrJJYOR0nUwWUwk6i6lyxZh/OZeUjQH5VOC8LfqaEXR32zoH2yoX2yDSczyksDERPXxU+NPIil8x62os29o79b0ynjBmb5bNAN/mrnmB0bK3WiPD1asE9l066SchhI0ltIfrW1A1+ssMr7sU2l6K8pxtYl5GdGBKnc7VkuTKeOXr4FsbWSd8N0D6SpQifgurN8+WVf8XQ+Yr8sQwkWTL3MxyzA9n4/oMCx94ICpmuuveJpOwJAlia7G577Ac+XFc/7AetNYyg6Rm2q3Imjg85T68b959Qpw3EUsrbusiElN55yLkI2nOiGCI32RA5Et56N18q1wF4Y0dqZ40DOWCcJvDi8jACAVSjAcgG8Sr5eG+HyjuutSfodhZyS/TWb+SW/ZOmoz0Ikdkb426OKDZ4kWrYV1IuhN5AHARAZrJw720ecduyEC0kK8D7a65ZORTs6/OONSF9kg1YGUdH1eE7tBN8vgrb6QmKwG5LjgoJEDrCzkiiQHmrNxJ5ANKi8IaLBcu5l8IKcAWJ/7OjhQMa8lUhnrOH2EGlqOjK41HTksXYc/68Vl0/ZVqQdLB1RP7GUvz0vYLGF4/opEc5y2uFvDskla59uN00nbSM6DiALOtqTBuPYk2Bf35Zs+UFbW0ZhRqBBVXYwnLMDkV4vsvFq9mfnmmixN584joChoJ5ZlWQd6URvHzXKORwxHG6Rl/eP5PlulY5kPJ+v4H/9uONbj6AAGFFqHPLwAGS+04V2J5QumHD2GEN0KcR/eO44z4iQbiNQRTvBC5lg+tyI4hojd5+Iw/SshO5YQPBTHjrEnL7keRpGHj/utzAHPo9DoAkhOpYS1cGJCJRAUVN6zXMEPUc8YUSAoRCpMclGeNPYJZzr45pC7wXAIP0WjNxpxyQpjjGucaJYbHEUTf74vmHIh8vB/BISEdcynzeOiGZ8+qyiu4xM5qPEdSIRjVyMNaJGoRlTpdB8/pS/D1JdweguPPM4nL+Xzbr6zUd0Xrs9PzCet4k7Fc9pvhZHyuPfrI18VobgGEXaL9Viywe/5fYlfMI7kpviclIAoRbg/c5y8zdDrOtcbU+OyoygxPV9yEGJ8we/5av0T24+CxNh1m4QlJEW07OQcxClw7nepG1ibXAjYkOOcvSI7DNinvhlMR9nsqor+p8zUyxBtmG34ojln7Zrej3Qqyh/Lhh9njzO+cGAOJIXAzk/wc+ATuk2rb+OJKfnOo11VzFaQeSYTUiy1rlrvWXvnPh9/W40yvM56jeMTTiuu41zpC308Ts3JN4Yx1hP3VIIL9Go+L1AC2dTEJ/Tb+cx2WaWRN/amURTDbk+c53Gw5iQsJk3ZNO18Fn4eH++tglNmV/PBrnmQgOHfbm5h7ANodsz20Xcfi7tY9jBMp6nf/j53+b41jso1g31XaWozqGz5b1yauW5pjHYvkNZX1RGFvWLJaWSfVWd+sIa+HbfcfnuzjLaRs+8PFVqCJyJznhlZUgIKfWDNqJzSbE3C7g9DE51Rt/ngvr5ksJHtvMeMC2G+r6MtESPRQmqPR47I6Op/NW6oZ8XQYkYCykmoMrl6C3TG4+crK8U3EJn5cpQVAXs3UKEQuV3/d0K/+IwiFZ3DXbf0F414KUy2j824HFLuJSy77qHU6OmyWYc23WgDYRa6d2X95W/LaNTn2rKuVvIvgs5gjQf9s8YrdlOHkh5s8Cea4oFobLUrT80ckIMiZjZ6+uAhs81EaAk/60sm45mhtlAqzKPbAeWbx9/swJPAiY/2lg5FcY8jE23IZu/lSFwFpGZIVn7OFe2Xlg7xdJUrojqKC8UAIw2DT1KLI/kvzCd6bkRmkobrXhGbtlD6amyxUElKhKIUH1ProsbiO48L6Pn0AtF2/rOlE5ZRf58rvCXinap2VjPwA29v1/Jc7oUbNeFQn2l41Aa7g8Ul2qwG6E2AMkxCQSlqhLn0pYbZ2PvBZf9y8DwUztiuy6q4OG5KsZuH00CG8rUF6hg7/yzbQs38fkZhjFfJhtgQBfIdZMO1uEmBFEl6C7n1T65Ugr/seVG0E+dNsuJzvriWN4XtCOSx1TOlJzfX1PEi/odlFuI6ynngvaKmiPL28qGdCJpwzx5Fw6hE33oXSzvSpK2vTrWHy4kn2+WYoD768brWzmfy/uK9rpxrb9fKO4nhNiXfuM8m7STDl/wnPXFch7vj/3GufOjSltDWFNpiyoJgn7s5CSKGN+Pjv3B00kMrlqkytpDR31bYc8Vy+cLq1vCFsmRbHee2jbJYYlUswLOy3eaUk9aZ1uh4/gcDFQ5/OG0GYDfPI613gz2bhlCbgWsMgxJjF0279gSQY4KIu4/CgY6bTyOLWX+OZBGPtmHlT3mQxxzL9kN26LySA5ZFDqkxo1O008UZgt9FVOjSuwmLiabB/b7NtpvfAP0JIb623uEUxjQ0YxaTINJtrUWSHXBjMGNGNGLaTPJJlDa2EO+OWWbA3kxjFLMmf+iKMMdTLFEJI9xHaGWmJ5pICWa03k/cZ+TxDOKD4Y7gIAPkyh5I5eO4YVHNLj6uL/YDNPrHcMbUtIAhqOjMc1uobt60MQ1OSQQZCMyjGuMFECyyqdHGRDkzfMdVUyBsFizbDGQwmrBFHfQ8TFX6sYzwkVxqbiWzLsCwE2w7sjKlBB3inH1IIpFJYBNc2A2LHU6Vzw7EzfIh/hafiZRM41VRpc2nr+DQngTKghwI0xlz/h+EKSDQyQ0JGD/jNLj/uN6Ku/D4jsxbnGdgfpE5NrHOfJ2khM03b9+w2Ms4juRBwduUJT5mJVi4xj6JURQ9g/4Kkthpc+HCMnu7CIdAm23TQTL9G+7FWrrbJzYJ9QnxiPbJ3TLqhnXHIjGfaa17RF9z88AH8y/KXKf/x4DiSGhMC3NaGg3Cw2aMz2SlUBC5oa2iuZDdBHfeQ99mfaQ8MFUzWWbpW8xVx19ZTQ9raWsSusY89RHJO4L0A/IACVtRNjcZdoYk982fi82ztSOiTGWk5GCdGEzbVxjPBcvE9dlehYAcm3kmgxkdUZxxLMJzlpeR6K/fuOYAbhBeyxsf1T7THuGuQoUZjQ7nksixkNGYqCfNmz7zGuJZ/UV8yvvP6qSYlu43trTLPO+4aJg7CcOBnIzGpvoPb728e12UJaem+/2ujMPqxJgP0oszMjwXr7QznHowMcb+qs2SKoq21q/kIMSEYKB0bzUGvudM/KOxdXJEs+GgI3/X15U/tcM648WimaFbsULq2vKBjbXit4Yzt8NpcB+11Hfj4g6ytr8nsRduzJ/HBuM3ZFnYd2yDTqq8/VwRBo38uX1dZSZytN2CZklsRQAXm0p9mZCGsrjRkTksyvgQH1bgbMk9mV4yruFKMSVaYRQb42GfvUVxe1uiKohiOQYzsGBEaI1St9bZWOwREV0vuVdZfOwS8X6xRA7wuuNSMeJXI76rrKaKSFQR3sgMtI3KrvapaA+F5SHjff6uPO5viwpRJckyDC6ADVBTg3ba0anFlGLIsaelTZh4ekwQYbfLuQnlRBUCwe20vD488LxapYqu/5qB75zAUzCfQUo7xkNJrelUveB2hzkOvluQ4o+SgBfX1GOLI+2IMxVz6oRX1VmLmPk14pyvw/eSTc641GKX4Q6GaiJshWUwrYGFCVrWJbGVMq14tortp3OfDgIH/biAchLWRVS773i3FZ+L96rDffr9Uvk1y+ud/Ct4PBjKni6ZO1DPdZBB6n3gtbohJcLSbPejc/1Sgnw8sL29QCIMh4c/X5U10Wpf0iil0uRUJ5l/6V+XnIjj7LZ+j42HNmka8H2SUv+SAQjZQfquzICCIQt6ShnQwli7ZG2KpBAXxzLm4rDj3g9FC7rN+TRdmIE3e861rfiFVSWmLKKUE0E9+Eg+SIU9LlK+I33Uq4F65uaQVgIbPb7huunLEZoH++qLnEsz4zO91eNcved9tie6w05uN+xWZ9dLXkyiXqsDn9oWRKcmlRGNDzuuT021JexsUf/LGsgcrKqHPxaUiY+xzoC471QEE3NSdn0dBJknAiw/a5T5DPJOUh0tBwaK1+kvwIH7d02ORyBjlbZuurMHMiJykon7SdBgbDZ8QhEZZ3STnIKlzdDjBRuWN8ICalS3329DVrA/T7S9qtn5WyJPUioUghl2tT367c7vt0Oyl5GXweNe+h32Llmx9aEqwClFjS5o7pBNentNCZv1Mt7YROw6N+D2QufdDySyV3ksWuTb2qA5Sppjghhv3dCtYLx8rcxfjtK4bLDaXWWhCbhyb4sWd6QeWU0I2wfSI02nV3Q+40XXXxM2N042YFRiq1Io0caQvfiikxSwKtrI/yAzzGiH5Bo1UKbY4xbVgRN+1JEP6GrEVUCKbzXISEhwuYBifvqmV6BcwPtKikMCBiKusql5Lxxkfj6y8Iy3eCcdIzFGQS6QOYiOg7UBpgqunQjs+MXgmbBLziKH7SzS26U+iWnaeasZI6Z4xXtGEIZtx/VOyl+Q3LgyQ9QhONtLknV+Fyr7pnjbTOJfOnwkC13/t+CBG2eHZMzIgyk0JCVay3bxGPwdCY0p7vBqn8JNfkQWYn0TofdyONzmjpO6rUTx2WvODeW2a+lfQlBmY8PReLiMG12PcruNU4hMRABSsLo2ujcOIfLpQxBthiDNkXfQOb3g88R0unZAVxISawRNWieUkoac22Cca5cf3GeuMYO6ZvoPpQ2mDkiVKZVkLDmIGG/140IJYpr1UPASGtqOJIDhyyRDRQ2lK3h4LpqQkFVah+8vLnzuF0prmYz6uHgJn4eDVj52ph3geSmgrdQHbsWNXv0oRJsSg99UFVIwTfd32WsFwCj4jAC2OIDRfkqxFHfTb6aOUUPY50uY0+ya7lpdwFg6G1tZVRkYrL/55oaPNEP58ZBiCkuZ5fPTyXMiYTreQcSMlO8iiu4lYNVPbuqU/nYBtLTRJz+ECn/LY5vtYNSzgXLe8sW3+hI73Z5W3D4vGZEntLS55FnjM0Mu6p2Ptrp+RZuduGRM/fZx2YXE0aEp3IWyiIItz1Q7AYGdDUQwx3RnMjt9493tqO+o1fqr/ZEBHwhwuKvdpSL8R5fqDgakvox2Za3FclSW6YSs/udfJfnOsTmJL9e3qzaYLUByokrZxoA2wrRqG5Y7vdhbIqrssUz3+ny4IvyrdaM+ipBBJyPSJ8oMqjPJUtUI+piZUtPg+B3EjS7cuNO9cPgWwhd8fsGuyMXxnajVP9Z1rNz84zoMH9HUOTyrM34Wpi/PThz06oMg8oLcWwSxnIKYFXPagvTBkVpaIlJAUP07KAI2pHS+cGlIV+nDz2SEIZS7w8Lo9kxSVyDDPxrobNwTwXg8moT+kbjEhFf6G6gOvVn9nLjwHtTZPpck1xcnwvqBfyttbNBpiKleugopWM5BkoiNFDG3IQ6wpzlkcXZJTzGQ8a6OfkrLuSiHFr20ulebhwGAErRsCfPtVVc2uCbdBhq6bhfbh2U83nFm+sdAGCxTjXZacf5Krl7d8PeK8zIO6lVqKwCAhMHyx/2LE8t16nUvQNRVdJPXS0ySkbQbMg3bAYAFJWhZmrioHOG6FdyoOi8dnEDmrgnFn1ygjcVgmbhNMrBLFM0XS90PFzzmsgKcuMq6s1jFyl263v+Kcc40xTLkKX3xVP2PCrdonN8F1fD78hbAcBmn6Z59VSTMGuNFULkqbASKdRQ69mwPrGyZKTGOGfXNzUDEdstJeMzvRXo4B3tQbkWVW0KfY9Nv8jpi4AGHJfyakupivJcsgcTgGy0aaGzpOo5NOP6j2sNOxhObewphRy4rIC8055UaftDkyt+z6Twyn0Bg0Jwt7NFyFMdfcjudgW8415yfgj9CMeoPwjFkVO8f2cbYpwTj6gvyD3B7hqrDc/iUx77QHdUYeQP+zfqxfOtLjPuxw57UmkqQGGYO24a7Y6to8Nr7nddPAk95PDyRW5tB3ADLJQut70kixu1q5QXqTJrDWgvA01ID9mRsBgu8TvOUtnJcbTC0svywnLozM/ORKJmAxFQM67ocwBgGJ4oJ176KMhociAwokIzwDfJOQuNid9BAQXS1NeiiQ/WI498NWCvqdIKTcLYMH1x4NRYSv208N8isQE0yKYOzRD8Gk3+eHHIiK5tJb10u6oHymOMEVgm96x0XpSBO0jgbDQW/paQuR/4vANxGRCv/nRgv/OcJ2H8270cNlPaIlIygTwF+h4dRyN62akGTEL2eODuYLRVPUmALtjToe9tNsb3Mp6LiwxsSs9kpYR6jJgQEVxqCim1O6PDU52igTFHDdlgMMiR9sznGl1SSV52yY+P6LHf9zGfNcd7GMTapyZuLFs1AFHJExoNwfki4bcl/yTIpykGKDLrh+gJgJSr33rFZR9NBqPb8TEUznLwDV+8nDj2bjfkWGA4QrN6bSAsrTHFU4I8vpKnEzB2oAvRCyZR0Omy+T5TxIFmWGMpckSY6ERbow+OL3z+UZYbRMvgwsU5kgAqifoIJpanQoTCgX7ESAl1pFMCTEhIROS57njudryNduNe/KViuZBUHBy/dGwU+Nhzzf4/1sBO1sdIYeqZbbrHtcN6Gc1Ewc0vEAQHlyLADbOHs+MYgZAhUdJ+omPQq6Mfx2fsMgU5iR5O95klSfxs9DAKuwCA6NmEFkVqy5qhSTLeonNw8ewV5i81xzob5wGjtPhJbUqEKpuBdj22g8eepbxeQDsaCKIcAsrLK+CQg5wk6EuVU6u9Cqa2L0t22oYDflDQqH3CrWfj1NCbcQV5njIctHFmwyZSLVe2W6gwVhv7ztc4vtUICjTYTQa/XCGyE3N87WHSOzgNVnRIIbs5N/UDGyBlyaZh8AuClyFPkhGFznEeE9VioUwLJnKzAJGdEO7KdAtY6595xZg4BYhcYlf+1++Zu8/GYpOTUqozWpiiJTRGo3Zqg32u1yOSzjSAcqPlYUc9NpRTG5O6cVNmUyl+14yRil0tlW6xdqynHShI9cUkEsooh8RzEDb91Ac8GwZYCEdA33ZRVKoeEZQQD4QAKTEOhyIMPqP1bUnRN7vYjdGLMTal7PpdH+V5Tc/jruU9J+Etrn0i9JqUKrGPe6sv0nSYSaZuhD7NxbWZIrNuSZq24uokjDH/gl0fBL2YLyv74MR9BMpkq5pbXgrH8H7P/h0AeL5mKeJ3g2RpI7aFufTcBCBUzjyreLrTmXGlZsJ4EeHT/On8Y+AcYN8d0HlyiHQ6nBLvlvojccxOSrGeXYgv+4LLvqC1YcYKHMd666B0Nzyfj+T3fMXxJXKuE4npUGnytTI91dUiAUAVshhkQABSY+5DVj6DF9ql4JcB3ERTTl7r3Y9KmSrNksT8wzhnOEMxP2LOsbOsp4NSz5b8/yZV00gR1XP8W+hLDLUjeQeB3GQPlrxXzpP6XFA2rulAUUeKmn8vz3S2+pGCZ/ViWSk3OBHIZn6Zmta4eZGTsnIM+qknOtUPTu5fxSg5Nqg6aRrrMr5P3smU7nHtAeYZAM5CY/ViqfRbX0ZQG2ko2wunbry+G1HGZkNUswD1kfOxPo9UVtoNQ3JA1icbquXh9FwioHbgkehDNCK1LfgtdFgsEAvdR4js2R1/364lnY54pvVKhN5iX5NtSM5g9WzyhyAhC2U3aa8k1SHsi4LB4FOFXS8buIa+gYPyrUZQcC24ftxT+OvyGVJvor4vg79QBvucA0x4vj6XEIJkSfBmSCG3KmIowCaEyqP1E3KzcKV4/OhoFaNc1A1eDTiwDKtPKRkXYSbKvvr0BEjsKoN/EIZ7M7gEzCK3mRPCgP6FGoKdJRcvCed+raMSpMrDvRpwx88m/OZApG16eOyx6ShN0h56yrg7kE28bDc4CuzUsJ1ZghhGzy705uEGrA3txOu9afUNiBDKsYuyuXIu6I+NzsMyHLsYl/2VDFAgF9cyIOhesEviGx00Psml8NzkvRtFj/QsXWW4cf/tjobNLiWbImZfCpFq3QtTQdAYrsrfRgfnS0mp/sgVR0dXLODi3tUJVCWStvro2aTUEgB4KYPRL5G1/rRieVPRP9tG5UNEwxNJNnV/opXD+0JbZsD+EbtawxxYNM5PC1OXu6E8G673ZWxQpzby5Ko68KgymhGtblgOjdyS0ocQHZAGmFEXZe575zlnDsqHKR4A2aX42iqeLyv2raagW7GOwwcIyrK05L8spX0l/yQ0T0LFdmuU0C+lAwcMzpacrB5dv8WfMDWpaxGZazOMDbfddYq6+UgDdfhYgwcS1fsdMqUYlRJw3HAqrKtHSgH6Ig0WZ9DU5bjsd9M9Oh2NKhG580+0ITAJoi/JU9OmGqTfcilZaVTfF6FsJAUnuqANL4Tfghu4az2SIzV4COGB0BED76WtgwOzOAwmQu4UvJnQx6VnCW+/4/oMAmZ/kNT+uWJ5MuymZyD0toWQI7RhV6dtXDqsSeRSwYVLs8Us7DGynQGLJ5g6Dces7JYIR3LVHPBfPwLHzjGNwO+lDnLtVmB3O66f2HBg1Kok0rzJJ7nbk4xOJEVB1n0DLoUok4Lq9thTsDHRa9P+cGGGoC+8v3JVGwRXBWRjybAfevpRFr5sAXxpMBddImxmBKR7SaTYjeuiPzSi7h3ky33N49uNoHQM1VY9kLA9ZRueW5KUxH7OzwQBTRMlkJEkNGpvt+tknJYpQlJkHcSqREiA3EzLRkRnlooGMMrVgngLpGhTEm513AjftOGgRAoqmiTmdcbn4zeAnMg3ssxd9zpH+qqJh2PImIeXH6ztIJ+qzbzFfVyVl9fmWaa28BbjlqW0E6luIu4lyTTY5pXVPInEBEoVfB0Zr2yLXj3z/r4wxeRT8z+vU6mbUAgAGTkGoZNE287ceujKZOkuxng1tV+PPVFIgi0cAxM0ms9kymUn0TT/P6IQO7Z0Hkt8riha7Mjv2WZY32rexVxK4nGMlyV3JMa5XmLeO8r9jrKysWBZidCVS8nGbvVsWQGWqYBWaMSEqHi3LOMM/hXcUCo76mT5slIS8T4AWBmpHPsK5yHSQB8erRu2rbLSxtm7J3RS5vPU2vMcdSpTjuPDnj8AWF7sRHtK+bJBTQJ22I5tcOEirRmVLaNMVwFPR4o+hqRBCQRhEjcLldhZiC2ckRTLEsowI2y2q6fN7KOIw1Q2wB/bDRk9yNi5LixQB1fpLT9XdiB0llzcvExxKBhIZGdXhVJUfYlknNepNRaOTTlP6ziu49SmfmlImzNQU+MaaroufSZKouuV14qO0aA0hNJiLgZqGKj3dYxr+skGyQSMa7c+rXlg2NCic04E4eW99pnFtc568lIAntOqk7sXUzGeb+bsx+di3c5S93bsWdSRx6GjqnKvbBj7WYOCcaQ+VbY0WMazLNF2ZCZ+axLaMkjV+eyn60QBg+Zj5zOoo6DiRizztzm+3Q5KeNfxb3DA20NjBKH8n0fe0yju1R44QbaP2+jhIAJQP3pyDaIssz+23BDDqLZXaWGQ1TOAuof6jYx+P0gC+6LyNb3uB26c9U1Vy3Cer6hRV0Qn/XHnxLzUsdko7dLve0rTowL99U6nTVA/JOMOwX9+dMqYK0Kris6xFfXX0eQ5MpWTSE2gHaq2YdmsIobGiDsRhsJxSL5MeNYFo5Mu5MBdbPAyqqLO+0ZJeDcsXyyU4H5fScIEiFgoIl5/beXCPLE1uF2KGvNJXE73U88lnTEKsCknGgtaxDwPgTOAm8NzJXlOwmrlhWRSXzxLeb0SYUpBo9VTI8PvSRzD2vP6AyJODZmq1J2Mmu9l5J5NzsAu8TQhOnizcryPHS+/Zx+EW/VYAkB0ZnYIwhDHayL3uspozZwy9gb0j3bKiC+OFv1PNNddjj4dJ+TacnPY+8r8tNJE1BExbOeFefGjrlMO8L7XTBmZUTBw8zqyI3I8AlWp5igiyfZe4L2g1JZCbgC+xEHpveDx4QwYcCh7clAaShJmO8qNMm0pg4/SeyEv7apy6bUB56JmgcgNDYAaAHLet0fKzFsn+bMoJbrfkx9XznTm7VLQn9bUIynqqru8q1jeVJQXVRPet+zFw02Sm42vfajByqH0MjZbc7CxZTj/zyRhdqVN4ntdaQcXSZ3k/5g7wP7gkvD3FMgsV5LdbSvZgA4nnre8iECqliCAgq2GTLvENbU7FhD4wiZzvvhwiFemgoO47s+DM1HeLRSJu2sp7BZ8uutHHe1Vg69MB5VLoF2BeCLTYhaIwtGlbaVGjltBvxM5XgFOIDnt5BKeLKhvCIX7ievdI9johu3jnkGlu1EywOjwuRyk/rQSrVYwxZJnOjXLu6ouyioZ3ox7wbHzGb2o9H1j2Xv9YkH5nK1Iop3IUPkVKVrj3u862n1PDs5Q5hUpOjJik2OGboAaDwY4ADc2LbwUptSbwd4vU+Wi3ab/v+bx7XZQ7IN/K4BEwU1JZW5C8Zmq6CIiPYzvzlLrGX2GNsXs+NXxIG8uqdlAbiKSncXdAs2J6zGiPWXDiGoywsS4h0hlpEdt414i318UuYdnq98wbQZByMuW6Fps6VnHJmY6Txx9RIWIS0hCMBJ+TrGoKM+buTLxRZ+i5LzH4TjE/VoiKZjGc1xPfD8jIxENo9Il0JfUHpmD4NhUJv5DIBA3JYtQpJuLVv9PuN9HdLX02zkXR6Af873G23ENE6qUr8f1FifB1sd5k8eje4wcM9xuEZmIMg23f4CBrlic39RzyFLnI0Wy6gfnErJgk/UwnXuOgC2+4xhtCyYOizsyHZXnwZePL5cZ/9YQcbzfMDoiH9ed3Cn03/L7c2lxCrh9iHAW3M73+Eg4a/Esp3mQP2na/GJNGwZq2pDogzVuYGXHLU8L0yXFnLq9TE4j80x35xSPzSYlEW7POb4bA/CBuYm0QqAJwb/T9Q6yqg/EuCO5LzfrbuKN5L0V3E4Ax0hRx+8lT9DHa4G0BgcKAFQFlVoe1WVLMGxCPhubkOZxDR5oeyKRGNcoJWAU3l+JeLX6RAjnb7H7vOda+JKdN0xSELy2RL/C9gSCOnO2akc2bpzsVdktMwiZ7p13+nmsZbPm9gF5zDYprtcxJCLmI15v07i2+X0bLSE++Jnf6vh2c1A0KEnsi4jmMrgg2fI+DOW0mUcEbVfmyFhmqlzxtKB8ESHWAX9gG3k8SfK5GdrrXaJiynO/rRlV9125z2ponTndrCi6Fuyfbjj96mGo4Xax4TNlUyh681xYRXHaCS9fKZpkyk3iQPKUd8tGht4WRjMSl+NCRbZ/hwHtzClQHrfRJ2hhaWg289vKaEOuHPGtUi2Axx32xcqmY487WuR9i5MUVciFWJ4q9qnSgdLUel5HRkI4iztz11iN9UobcHjvIRi2GS6/S2JhkbNVKZ+9X4HqWN6yUWRfkZU/VXlmawaLyOexoxwaFUOndGC/H4258J7NunxtKdFvGxE2W9UWwUbaJsrxmJe1UT0lGJibHXUE/GIp5Y+jj4Z+rXBD1/mjgWH/iITmvuv8G6NNf1nGd6M5ZXHyWrZKDpSTo2Crqr9qVBLxnu25wu/1fO4a6svC8sG3C3PJ00FdEK4jHDp8Yzll9BVqjdoupqg8/23Afl5R1o4q6x6O695DNK1k48D5CJLs/fGKy7bg/HREc0rUL6VnM8E0Ew58fHrBb+LVlzgtQxSu5P+7q6IHRJVKbdjeH9iBW+KI/rAzihWHqJwN+30Xx8eH4de97cVHusKN876Pyja7FkXUQL0CDaoUPELcAANeKqPf4vCDxiLKcK+WiOb2qmcVXGlAWzslyMOZjuUXv92YjlnfksPWH7Suj46r5ALKmfOsHzugCiBf2Bxw+Xwhmvvoo3JxdfS7DctvHFL9tj7VrMphtF9GX6IO6T2pEagpJdaQqeyM6GNzNRAFfkdpfVSn7WtAV/BAhEXzq1m2KUlOmFOSYn/VSXLdgLZRG8nEKbFzGchjrF3nZzoAPzj2lWhwj8KD2D/AsfC18bebwR52+HPlvnJq5INs4sp0kK5w4u+VtWP/7ka7INHMrF4EUbrlc7YS8Icd+xqaWZCtqCKy6p6PPfVzfAUrLoGkSpSnmlWGs+5Mf2hYfrjA5QDRYVWxycGAQ6fJ3ClzD80pjjfHzA/Ajg58UGT3Wx3fGEH5pV/6JfyRP/JH8FM/9VMwM/zVv/pXb943s6/88+f+3J/Lz/z9f//f/6X3/+yf/bPf9FLGxHZ6wHP7cL4/uWoZtZo8Rty+Fx5iclam9yIHPI/WHK3Io80oY/ISb7o3ytvO6EGGjCJw+ooPb3YEcCOf7LFZzl6+8oRJhgybnlwER4g05bWHEdU4eTdJ1Osa+hTdzl68jeseyJSPqCl+InoQxXVGT5qZ7f3hGH/owQe6E5Fe/KZhRCSzlz8Zrjxk0HwZY5jXGjlrRVl0MKbrK9M15Pmme+xjfLMxIaAmeiWjLr/SqQjBpIyy59t1MC0Xczh+c0I4MPY3lvXO3/8woAnuyzymNo1fIDOGySHDQIH2qdoqnmEY55i/85qKcwV6Pl+P+Vc2IIxzmNFBcpFpb879Y45ijmrSJ3HcdECeNU4CEblfrnQ43VDQb7RPvoqDErostz863dLMU4u1GWs/eGIxNjlPMKql5ig2xr3b4KYAImnqvRBxm9fcVx3xDGJux/l1PV3nzKaA82kUx6UwmWzRzZrKuTDZp7gPx00LDyvkHUSzuESRNUaG4XzwRNPvBAo3if8lB2vivIToWtgQi+mpewgkgaJpOm9e95jLiQIZBkcm7k2/dSMNH0hzBMgW4xCTAYPYHIdj2LCCSaYew/GJ6wLGesG4H9/n8xmDCzkuGfzUGBfOm7S7YTdjfOM+Zluk6w5Jh0RnYg8SIjfzc26k9DXv4jcpRoixf3yIkv02xzd2UN6/f4+f/umfxl/8i3/xK9//wQ9+cPPnL//lvwwzwx/7Y3/s5nP/1r/1b9187l//1//1b3opFB07y8u+FJL5XKVvkeMMxVHn50N8rYeY2OSYLO+LooFy29tC9d5+YNTs1wI8bmwWeNfTofG1o3+8qT23Mbccde2xh8aCKVB1R8H1Jzfsr9noynZLqfBsjnXqWbWy/gY5F3a/895lFMtTxfIbq1ACNo7zU0M5SQI/UInJIJoavJWlA29W2Bc8N7aC/rxkbxV/GNL5QZZdHjbKlgMc62sFXrEUugVXJlJjBjYMO3T07wSTECgXCtDZNdQiDfbFyqjirnGT6xhlfWunvHoQSaM5ldvgCAVao+aG2yc7rt/Z0T5qaZDaYwdORJ/6406RvOqwz1eea1JPBcBGVyIFhrZEbkqq7rH3S46xvV9Q3izp7Ky/uWTVmFXK7pelM8qIipwDS6dt5/gH+RcA9U3OFXZRhVkhjNyfiehYVWkywFJgAIdfH5L+3lSdBRC9CMN4rkwPyimvd0Rl/H5HfVuxvKOT4yvRL3/YYYfOa5dTFg0x/UqGvt+1RE9IotVmbuC68eH42tJFQnVsrWLbKpalkxuitRcS9LMDEsfdsuHheM2Gh3Gs4qCEc+Ju+OhwhgG49FvQODgoM7ISDkt3Q28FvVVUzUm/luyVUu52Rt0vUQ1CJ6y+qxTI2qiJU95LfOxS2BRUSB+Jo3we/sAS7rIZNZk6sL3qaceWZ6F1KzJFE80IfXUiMhib3vJU0KuqcabhaRKOdJEWY6MMgbZ+cKyfV7Z1mMvzj568qyCkh6ChV0e7I9JYXwqW90IELpUcEHEAw5EJZ2C/75lCjfYW/eSoTxSKNAnX9WNPO2dCUE2VQn7X0D/e0956pfJ3fV+VCuVYlpcyypQjtS/UeX/oWN9Q9DNscL9XBeEqbpkhSbExp/uRqexwyvqxoxwpmBjVWkUE8+CtHV5fGKzJsYiqzP7ItRXtJCIN358X1M+XlAIoT1RETkX0ArRPdgrGlanwAKCgXARxcypYDWuhxrP+0IS6Swz0HZ/f8lwGaVjBq1fHLpFRFGTbhfJUb+xX7jEOtfMYwW8iiV/j+MYpnu9///v4/ve//2Pf/8mf/Mmb//8X/8V/gT/0h/4Qfu/v/b03r7969epLn/3Gx15uqjKi5MvNVA4mB0Q5UFfHxua45YEEKqfozyOiAYZXP0fThvTKZzY9QGMYqqtQ6gk13Mqx59yoE/ZRxjZHLyPymRwpA1NRh5ZN8LywLM8ARFNBcxtCWLPHOnvQ1SeUJKITjEFIcR2RvkLxcHH0plLLuM6m1JSqBTzCt4LRIiCuQyhBP7jY5SOipOS7jWdr0/UAo5onJ7wNbZB4PoEk+biejAYLwJB7GpRoPhif1TiZYfB0IiUTJD8XkXlxpmfiEUvHIDpEe5Ok986SPjhL/LxqPLaSXJke46f0I6sebEQ4MQaRa48pGuz+yXHqFTdVUnmf2SJgVGfk849qAkVIGfnEoTVkh5a9myzGXEbM7vcxpxSxGWwgIjGnnYY+tFBcvBaAjsFXIhh5qYKgjcJsFFgrma6p00VHuuZQ9q9MfQcJN343/rQ2NSEM9CcgfqF9cwO3LKEtSif28b2Z12BK90EkeDoJnhG+C+2buRcZ/U+oSVa9BVoSfJFA7cr8e5CDYDeIT56nx/OWk4VRoTJzssJG+fQMozli/u5yiybmUTEEyQKpASZ0ZayhGbWIOeqaRwC4NmxUCMUzMud8SqdH10ZxTZ7XzmPdEJFQ52EH2sp7LN2GHskaz5D7ihcfgo2L85JbaM4YRRABIeMYlTCaO22fdeJ16L1IsdvaU/l8PHvc8oUi2FSAY824/MOBFALOsm+7tQEa5xIFBY337/OcKpwvPWwmMKgHss2xXzhcab9pbHWN0Zg3X/9g/v12xzdGUL7J8Wu/9mv4L//L/xI///M//6X3/uyf/bP47LPP8L3vfQ9/7s/9Oez7j09MXS4XvH379uYPANZpH0l+sg60T9kczlcfojhKb9hOWfj6ws0vmm/ForLdkvHth56S9CYWeVZALE6C1EYJ8XqWZHsH0ZnNhgR8ZSO7HOWOFL6yM6MpuxqOv7FQYn3t3LC30eLctpL6KrazvXZ9p6qOg8ikobZYICVCogvHh+vw1rMKA8nZQTfqUmysEPE7CrtBvXTsufL6Adh9Y0M6A8qxoT+twAujHKwqm7sW1NMuFEaRw6GlgBWMOhhZ4vZqz5bwOBDN8buG8rRwbCIyjZRbl35MI7coId0kykJVLhXL2yolWHrvyS+SU2fnmnC2vRQsbypbnE9wvFVGRPBhBEpUJHTATo1ieNtIzSxv1fvicUcVWtE+21CeK6sNmhGlE6JU31VqaDxXPrvHTbn0MpysyCEHJ+iupS6Hd6POQWFpZXQ03T9qbPsQh2m9iBAY98D3yK3oZ3FsOp2jdi8OjSlqPEsO38Dc9VaGY+Gc60nG7qyEsTh/bNDiC2Ha+Ho3tG6otcsxKCwfht1wUD50WA61Ya23nJgoM+Zyo5NRa8dd3cih8JKlxvMxNwjce8G+VTTn/ZWidNpWUA6N3CwDuV9AIgv1hfPNX28pfx+cgYDYrUMCj9SHKPGcxUFodx3tgZUVIQxZzoVilHL4UEA7Bm762Wqjg7ynDukJ0Q5E9VhIj1tw7ADU90Q9UuDs0Ic2ScGQz5+aqqZN3RgEJunXyRNpj8F5G+PrS2dFZWxQRschKsUCTUUD/CiZf5E9s/dQVaXSC3VA+ut9OI76feuS7z+4miN2Phc5WMuzjVTqVmBnNjRMZWs5jusXRA9M/dCSHFy4Ng+/ocrI15SA95BceKqwJ3IC/dUOrxhy+M3Q3qxMf08OXAn9rEYbuhz3ofdyJfLTHxpRPKH+RbyV9XNqkZTQ/3q1ETFS7yd72ImOhOyG+hRRbVivyU5EY8d+InLXTp02S0UH+2v+/vK2DGc95CdebaoIQ8pP1OcCv+v8v0RVyf/5+m7H7yhJ9j/8D/9DvHr1Cv/8P//P37z+b/wb/wZ+/+///fj000/xP/wP/wN+8Rd/ET/4wQ/w7/17/95XnufP/Jk/gz/9p//0l98oEPnQb/RMAm60c2H5aUSe1bHf67sS4YmulAGN9hDuKoqS1vGZVHW7QR2E3BwmBya8/jqiZwC5yMqZC6ZLdbIfnJtMlHJdmbpJCeWNUZcX0BhYSWQITws3jC7tAxEr+6Hjel5zkzO3wdIWGuJ9lLKGmiENMSdu2QjtohNO9BOj7y5JeaIq3HRcCpFd0YXJMFvVOYsLXTBxcbSZTnM1UkoxNlEKHe3qgzPhVaJMd53XZjp3RLEOtFNPB86rD90BOa2pN6GINaHwQHuawRfLRlgpgR89gNyyS288WwDoJ+Xdm1GyP6DRiIgwkL6Qh0+J+OkzqTIa6Ej13PSSkxIbgDn6+wVQObC9X4RIOeyHB/hHOxLlU5lGOIaZxlPE2jcKz+U1xWa8FYm5gfykE1Okvhd0yBE7urhGdEi6SMDwMU6R/sl/T8e+F6ZUJkTjq46owlms4Vh3KilPn/+qbsXHssOKYy3DockqHajixy0F277qsJ2pMosGiRGRA4TpDyS+e1OpLpDdqmljWJoa50q604QwRjVPpEG8uPo62RCedEazLoG17LANzotYm77wPFGFlWhvkKIB9ANGJUicuzJ6jsAtdC1SxyW0jZrBPbSGnMRMiUya0pd2uSXYm0eQZkMm3cFgRPfgJhSjkyAMg8QnVVq8A03BG+UYSpbHEvGUve4YVVYLYBe2QLHGRoPtQTbWC9oJiVx5ZTlwfTG0S8kO3hDRtx+d41ac/aUCxQ/nK6ZVkxyD0wmJzw27J/sUJdVCI5taTbD3mOzgDrRzHZpTkFN1RxvWTgz+mgM4OAUyATaLDSkIByyQsuLZ7sAPer8g+SvQOLLlgQ3OVGdJuLnBuxzVvcAvGC1FYj2syLV+g6h9g148v6MIyl/+y38ZP/dzP4fT6XTz+p/8k38SP/MzP4N/7B/7x/Cv/Cv/Cv78n//z+At/4S/gcrl85Xl+8Rd/EW/evMk/v/qrvwqAA1kv3Dhnz8zu2TxueSoD3jdC6P0j5npDXC21KQI+O7WRIig0xBapjCC/qdoh+rr0UycCoog6CUNrlxEZqRBf6MWXqzb8heqp9UnS8SYdA4tJQphweSakjmOHP+7kMuyG9XNWELD/RB8T4tSpTSICbR5GHZJyYWVQOZfRREwTJ9jbZZNCYafnXV9tgIN6BJupqR9LUlMk7VzZpOpMqNLKKHm2i/LGQkXsWkQGlnFpJdMZLm5PQudCUGKztmaMUo7cKO2iMdYc8PuG8rhJAMsHtB4b/jquGQfmYZPENiFMqRIbSFTo6gCMei+3kG2/b6Oq6GWhVsaljFJDg3Lbrjw2G4L5KpG0SB3e7/lvGJ0Zu9s5vwJZSfIyUN8ubJBYHOsbjkFfgPsflOEwl6nENyTMw+A5nVI/i3si1MaUorBQxD2wMm15tfF6r0TzbBXquJUsV48UiHewE3I4VmVab9PR9orewkmIlMtXm6ii9M6p7lgkP79nioe9ekK8zd1wKhtq/bLK7HykkixzpBJq09iAqEJU8wVHKRs/blzP9blgfVup9+JEDqKJnq2MhGGjsR4VhTnnglQICWmFc7G8M6xvRE4MpOKk9hcOtvgIcrKQ12w2GP6YIZ2N7G+zsEdZKMK60le+jCg67624+BQYTRFVFp2CZ1X3BeR7y4vuE0jCpatHjUXjuEPPrsoc6HCaiMiwEtDU20VaMdcirgQR7PosVCSEsKsqn+jbwVfa3f11Y3PY95pXhTyS/bGlJo0vQF8oPV9eKtVYjc/y8AXtV7vnei6hiSTHJtN9HckVtAfNuXhdaV07cL/wtWdQCGPHeDs0odOeiIi91C+VnffX5M/1x51r9MLrtQe2YrCXMqpYg1cpGxr3wAapnY1Z73d+X+026nNBfbFsOJtVOo4szrDNUJ6VnTjEHmIp5MfFzXuLdfB1j98xBOVv/I2/gf/tf/vf8J/9Z//Zb/vZP/gH/yD2fcf/8X/8H/h9v+/3fen94/GI4/H4pdftajnIvo6SvWhr3iW0A0AQnY/cbgduMMhdnmL0D8+0jKVmQXlm23pOKEKALRqobYWoxPtFvVagNII2R7W/LpeCdhKprdCp6kehPNIS2NXOOxpb9TuHX5HCba5yNayO7TUX71Cg1GbeSlYGLO8qS5IPTDGEMNrQLSEK0l+WnHDmFLKLzRYVaC/sdgs3kn9VQu1boUBPCNAZ4CduUO1Sc0FREVbOSTf0paNc1UAsnpPLozeW+GKZ+uQAica0B6XgAmYP4lt1RDfSfq1SbSypygkg0xym1FbyOVSGJ8hpIGhKBabn7yWjmGCrB4LGcsGA44FobZ7XEP0tQpyrGQmmxdlhOKIj8WLqu4p26BmtIPgnQVrW3G6PLb+7ve4a747raxv3d+gpDEfGaAEO0Puejsz+qqdxG/lnoXN9dB/2SH1JNRc3nAA9S+fcsmOH7yqr7shNf24WSD6L0jB1Ekr7MY7KobR0ImaS64dS9qUw7VOK46Wt0kK5/cx8/lCQTU7KTmJ8WTimaAWWwheeDgGkupqVeyJYZOM6zdXluSTXJFVcLyVRlHIp/HoVafbkY/MGklcRdq6d5Pc1oGljL2dtpAddSwf6QXZG6ynLZ8GgaL/3dCLK1dALb8HANdkOnhE0qsOuyHTBTfWg8RrLmfdZ35eBxEZK10FRRN1/VhBBznC35LYEORhASvbHnARAGwwkahUoSThG7aEPNFubc482HQtRYlOqw1dHN0dBwfm7PZvrRVppe/BEauxpTaTXtkAmLO06CgM2KBiGi1emNJx38ZySkIPMCriXoZZ97LSv16igca1brq3gxbg6qWMv8B0SnHMh2hhaMYkqaTxe6kjXXDkP/aD+SVdgvyO52rpRhC04LmGnT+HYOYn8M3/zTI5PEOjhxsDtax6/YwjKf/Af/Af4A3/gD+Cnf/qnf9vP/sqv/ApKKfjud7/7jX6jqLoGAKskBLdGk74era41oVJK3O2GlAUPaNWGiNE8yIrY60WCam4JrSIgf3n169tRWlbO08SLapsrDVZK9AOskz90Eck6cEfjF9GIH5tST0DIkAfRzh/3JICNax4lonA27UJxogmB7kSF04F/rHKSxdiVq5EFPsGJdqnM5wKDbCmnz66KYtQQL+TuqSmD8R1F5ZHDtCDj7YQTiyY6DEQRCogMzKJ6huxpkQsmFt4i3ohB3T4tHaesQXRoU9BYODLPHpLyKVR36MlxScl5zbcb+XstdhMHKbguyRtR9GoRwXRyC9AxpRCn+SIjsLxgIHrNkiRMHs+Iwu1uyLsnGrQ49ofpfpUbTlZ/pCzD19K6cFUC1ZnDMokVpkaOoqFIsdjSU8V2lpovhRozN2Xiffz2INCqOkm8EQA3fXniCBLsWlqSZJucidk5aaA2Sims1DFzXPuXjWObnKQ4ciwDko90wqHR2Ab3xpDz27boIDvZjs41HfMbLv5IODJao+UiHRQjD4A2i85GP1DFNZ5R2KNAfwM5NWmGmA/bEam8qH5JKQCLtLjGVJ+HCKXBE0tEdunkp1VyO0JpNfkkM+lc6a8q5dx6MSEgsm9CNO0aOXL9jNYWbaz8ZjmAqbKs1KcbEN2T/ST0427P68M0t8knVEpDSE9XbzSqx/IBlovlPuHV0T7dUlepnmlnIr2BQm4J1j7UVyMtX5CpGFOaN+dEpE+6HInQGon5EujtXijpDzCwrOTkJCIU9qn4IMiH3REH0Gqfqp+Q6/4mFSXKgYUmmPiZlO0giu6rk/wevxnFAlEReOT4eiVoMMj5EM9KnDelmL8k8vZbHN8YQXl6esLf+Tt/J///d//u38Wv/Mqv4NNPP8Xf9/f9fQCAt2/f4j//z/9z/Pk//+e/9P1f/uVfxt/8m38Tf+gP/SG8evUKv/zLv4w/8Sf+BP7Ff/FfxCeffPKNrsV2lW8duDHsr2k8uohNvni2807RHf3N0rqpDBgYTkNMrjNLdgPW3V/3rOowkCDbvlhS3h2g907BMKArlZCs9kJv3avTI54rR/QZO7NEsX20o73SpC4gInBUzlMNsrx0ojI72KRsN3gv2UWyLTRm59/NhdveL/xewPrKm1IeHiiKgvodZar7y5IQLJRfbHeKpl9qSrvbIkJa1ThG92SnYWEpWjQOBI2zYO320EcPiI25YSDGg0bBryrZXTy5Or74KBeMCK46cC0UW4vS5XMdMt7hTL3ULGtMXobL+AX/R5sSJCOO6qpaMqIG1Zm2MIyFr3YAkZuOXhSBKgGgCF10vZVxx7GpMqDkPZkaze0PPp5VIB0Ly6gBjn1Wi7SSon3s3O3Z8h2miPUQTpYMVURdUX10Yumvt0G0BMAxK5yfbZmcRQRK0tFfFvVJmUqQDbHT8LyKLHFwWAH6taCosV2tnBwdlMcHQKLshKTMRwGrc8KZCcTjIK+3u2Hv7NVzKht6t1uNFN1ENc9/h5NTikuXhe0gmpz3/hHSAXYH2kd7CiPCgOsnlLf3XcTnys2aHdb5u/ud4PWqjWwbaRd0NW0TkbkvQD3TWfGFQU9fHfUKbHeuslD+Tj9wk22nSCExgOug42SXguVdwfYx09b91JOXst959rKJRoJhQ/vBMypPLZaiypY72tT6XNDulS66FKVN9FwW3r+fuP7K+ypNHSD0qzbZuvpMnkjZh+3r91q7HwSbPRxjNaFzpxPoxw4/IAnCPToZ70B/ruRHnNTI9TDmcjRIhAitIWJoV95b9vPajQ0zj3QkIr3kz7RN3XqiGfW5YH/dJGimtfxSBycwVJpFNrXnhY5Ao+QCDPAjL7AJWU/RNcNoieG0dcHXgUP6Sw4sDGA9qjLl3LLMWcKhcY42nktfgO2VbMi55n4BF4oTvD8VbLh17Zmdzwp6dl3O+8uErnzN4xsjKH/7b/9tfO9738P3vvc9AOSTfO9738Of+lN/Kj/zV/7KX4G741/4F/6FL33/eDzir/yVv4J/6p/6p/CP/CP/CP7tf/vfxp/4E38Cf+kv/aVveimMFEQgTZa528ipKzqZI9m53MkaBiwdG11EikBGFymDfFSFi0bNlI+d4cToYpmITSAbE1GXlSWWZLNEdMBFFNFPdoaNDTRSVNVH1CYDEwJoUWI2omugPGwI8m2S3qYqirlxFYABA4pDQNE1vuaq0w+Pmxet9xRN2FSaljl2R0Ysg7CJgXwECcvHnyy7i+t1jOqmeCZF6E48g+BwaCFmZJiRw7jXL5W/RaoCmMZSizKiHod0PfRMw8kI7kwgBLr2jJiWPs5v+r/GrUhldSaSRRTSJ0g8/lhx9d7BQCSAgRb59HrcdzzP/AH+SWnuOH8iJZbPDRhzxDYbsvU5YXS+bjfE12ydAEyibrr+GMMux0WpmlL8tySqxlHgQ6xNv/Hj+CruSOLsV3UyHp+7/c3uLGyNZoEpohaOF+isBCkUDnLENK/yWThy84eDG8OiMs0emz7SWY4UUaZ5gnRusd4tRcWiWV6W0abzHw8BuU5tNywvPNfN+gXoWAQqJnJuIp+Lp4z5HB0DSNQ29EYSTXEMros261in9cI14IlmIpGRTEUovXSzVmL8DEkCJ0oxri11pvScb1BCPRPTtX3Ipc6y5RiHIBVHCi+GNMZeDmZ8jteBgVI6BkI8rb0SJcwxjsZAwxRkkgJFDZWyIQnMmRIMTh0weJHAZAMx7NxsA7QvhPMLxwjsLObpcEKC+D4XH8zzKu1y3O+MHKd97wM5jb3pGxzfGEH5mZ/5mWQI/7jjF37hF/ALv/ALX/ne7//9vx//4//4P37Tn/3Koy8OU3qkV5Zv7mriF6TE9sAmcsuLkT8Zm6Dp3+eS3j/RGBp+kzcahtqXPvJrxlKr68csCQySaZQop0MkA5RlbQ03aEsP0S3JQzPXWNHuHfXzFe31TuQBnNSZ59YCi4mzP2hyCIYue0H7mCJS2CeRrvC6T+xci/cL7cOJHm+X7HV5KZSO7oC9WxitF6TMup86kacQRZu63KKAkvDR1O7QSMICUELq+tgHcbg40aSdEUZuyMF5qKPiAJ3ktv2+50KNapL6mytaB9MbWsxYG6WfY9EprdIfJE2/G+xpGW3I70cbARiN6/L5gr44/LOdcGyB1E8xkI1oznfslH8G59fy+YJ2p46e5wX+emOkdFFks3Iu3WjRKBXT74H1Rwv6wdFOlg6mHzori8JYb0RkrHbYu5WCX0CmANM5XIjYlC9WRjt3Df5qRzFH7yXHLKpuAgo3GMqzYF7xhawSFSxrR79WIITaFs5BHBsryWLHWrihO6A0EO8577UbztcV23VJJ6GrJPjDFE84GFHps2iX2Xwh8gJLnZSGgt0L9r1itYa744a1tC+pyDZxXFovuPaKrVXsO9NDvcsh057nF/LK4vpnzkjwQqLU3xcnIbQbrp+yHB0HVowtb1kNElUvZQfqu4LtlWN5IUpCrlrHPpWEExUm76ScDfZuTY4LXFUvRWiAbF2W5260WWgsDy5Plft42ENnwLW9olNRNM/82JKzVa6qcCwMpHpzlaRz3izPhv2BxOBoz7G8regHJxdlBUm9r4cdhPPefXWiO6oKMnGwfNF9n8kZCe5DbsDO18oL0YDyXLC+K2zKeNczBd0eiIK4mhr6UsiBe9x5T067n9orcr7CpvdXO+y5kgPzdklxtnZHNCz0WYhKc6/YX3fUpyLBOb4OIInCuU4BSigkJ2lyihpgjzvwtMLhJKJfDVDTP7vfqQX0snCvOmBw+i5lcFGiovDQ4WpI6RFAduP+UTzvIfl5QKLUQ+WWY378tQWX37VnOsoPnRIEhfQDXChFQeePc2CbnL3f7vgd46D8/+QIT1pjeCOlDCBL9+L1qCaJCNqQ9enpuESE7xgLPHgGeX7madn5MiJO/WZEoxGFTuebS/mG7Pl0zcWTPBeNvnihyL/TQ5+e8ZciJnm/+dpMYAunANN55LFHVD1H4JEPv0EMgNQdSFJuHB0DeeqgcY9xieuL+wYyn5kRRpABvyrSjZem796OYUwEH5FD5IXDCYhrB68jDTSgio35d+hgWsdtU7voQjy/5qoOKqpeQcw7u72d6SuJLsxjFAhgzoHp43PUNc9x/U5En7fz38dzNdxwIZJnE89XDlKK4em9WVjrS9U3M6IiJ/DDBoA392uYxPf0l9MhcTcKAEZfHPyY8+go9oFk/ZcQkJIk2oqOpfabFM98NBi6jzRRTwIj8uZdNiBTfbOtiGP/4JrjeZQxB6wbSuNathg3KBqfzjdEAsfwxYX04LRllY42lei1M68LxP+pspoIyYT8YjpNIr+Yv8s/HkGbbOUQjPMRkOkas3ovbMwkmJbnjzkRqO+HTpVQwYGcIoUfA0UIpAlAIj9EHsZn81lYfAG3QoS6L9N8zzUTwU3YrVjP8eyE1Hvw2/J74z4sSKrAsI3Tb8IkHbCXm2cWHJs8HIO/B9zuA7GvBDoZKJ7maDoW+qzXsf/dHLNtBm7tdnx92k+iKG4WZ0wkbv5NAIGYfhOv41vtoHilF2eNwjp7VNQAJP5caYz7kXLGZQPsYiw/BpiSCA2MYwNek50VjGQy9jUhzyVRi3IulKFWCa4fKAxXnlUK9m6RRyp2vlIj1sESLhGHEg6roEjRzojD1479ozaIrGJfB5Tpq9OLDwjZAHuvahkR1CzK4xZGvrZ29EMntLcX6qdsQ2QOwFAgPDrRkiLm+0oJ5mBhI7RBjpRnjxp+29kMMNNaBag/XIF31GPpr3d61UCWvpUneiT91Hm/JyIuUTESR0Db28ctodjyZkGQTPePG9GDjZuHnSSVH0ZOZa79kchSVno97oAE6vpWmU8O0uqhY/90J7qmplrYDfWLBfZ+SaG9EFgCGCGVN2x1vr8SB2V19I+28bkQN2rGfLRE5xBl2cVhS2cEePLxWYDzSmkxOzY5yICf66g4eFaZazNGW5FC2goj2Zh7kUqJVNShw54XXs+V87k+lQG73zXYsaUMf79UrJ8vjNKqp8AgXips6ahrdHKmAU6S9uTQ+6WQN2V0VHwj6mHm2DtLfrsbCa9a3OGUVHOsRscjdEzi9TLxSo6HHas1LLXhrl5zTrWbyp04t757qWi9sHPx0iXkqDTR52vOBW+qQutEdOuLKj60ocbfy9sqG2A4/kbNjT6UNvvq2F5zfe6ve26M5YURvQFIIrcjZeHbiWXl/SgdmmMf8gpAOgYBZpUNWN6LHHrqWcXC9NAHm1U4DUp1+l1De2jpcPS7PqTehc7ujyqrDgRut6H90rmxX7/ThrijizOiwGR5wzJ3e9jhd438Dd132UgwNjfOy4uNVPna0T5Sye0KXD4VEh7O5alzvRhQ3i2jSZ74NXYt2ZokU0igXS4vQojP4h3esWouqoeCg5MaInLe6jNlFdgmAMPB6UB9UwdPTly5+q5mirg/NvTXe7YwwJuV1+HIhrOZbvtiRX+7Yvl8GQFGVTFFBN9BZlWqtz9QisOuBrvUsU8dukTVQDHJkOGI/kqNY+8rEavzd4i6188X2tROfSo/UJcFC/fJEI28Uf/9Gse320GZPLRQbk0vc4oaAeTkcHGKsoInIpStZGlneqWxcYfX3Eck9SG5NTRRYEiZ6aJut/yPTirEIDoXh8bHaBw1eawRTc0efES6c55PEZMHyhEbgM6dCI7f5lIjIoqqpDxP5HuDMxLcggnei+9nUcQE1yarHZCug43PfBDlZlT4oacuYuVNhCAeTFaTyGn50jNrFIlKJGCKaG5Qovi/8/OYOAMwTweH1UbT75Rg649csO1G8twcIcWYzWjQfA35DMZn3MFyVD0rl8Nyc4gb9KUj5kedftdwU52Cyih6rgj68sPAiNpvrlmRqyk6Mm7K8/3kPJ4iqvlwH9HWzPm4ucb5Vn8Mr4SX6F+JoFTcvjYE3L76N8I58SDVBqF3HuNpHmYZ8bT2ZoSEJ415UcYYCF1MfsV8zGip5l+mdQxswxE2IM7fbFwL8CX07IbjFpy8eFYz2vzhM5rQgFy/nd+xD9ckxrko8MXfS8n++KjIl16RTnUeQXqfUKBstqkxsbRN07OIt1M/xcc4xvnTeVLAEyJ4Hs9hnvM+PV8keprcI91XjKlPtogcoWlOLC4ndDy/lImYzp/PZ//gujGNqSGrguYqrBTgi/UU492nc98MlE3P8nbtm+O2clXzJK8rUK/pmWfgYrrX2T7H7wFZ2ZfX+FvwwD48vt0OysqSJa+O7dOdpWax4Uuh04PQCWRerN13epfThrx8sWD54Uppd02Yotp3NBDlUB8Hj9Lc50q5++fCZnSfbPB7NZ/rhvWtYXnPDd4OYrhLC6E9sFkdBW4KxW/C6Qgn41qGHL85vfuF/26PPQV2KBIlnsiVCIsXoiAWeeQro/320Z6Ijq/SGtmN4l6KZmCgd32uJAG/r9mwb57EVjt5FcVTI6SHxLcaRnkdxgUO6agghXuyz0RByuNDuhPpMABEkkKVN7gyVyQKtLytmd+1l8II6VqYC5agXIqvRSThxvNdKeFe3leVdpquyVOUr2yWUv/tkx1239BetSRa10DPNkYncMsyXTMkw/7mMMDuGkvVU9+k4PBrq9RIfaAlU+qgPNXJwZARuJPAUnXgQcqxaoZmQdJWVVH7ZONz2G045bHhLeT32IkNJ/viI83XiTyVlWXD9djQv3vlbztI2LyTwuy5UklWDiAA8lXcqE+TqVCkBkrC02DKpxhLjlsvX1nJU6xjtYbWDZvXL/Xv2byie8H55YDVdphem484bxMH5dwWNDfY0pny2S2bspUXbRKvN5RFCBYAGBWGSzQpVeUHimP9gsgr36es/PWzRt6I0jxwkhbrhRtnld5S5O7bHeXj+4kS+KEuuzxzk9xeO5/Nwqi5HfnMQvIgy5bXjr4gq3xKkDq1ngGM9MtCbZ/l2Yb0wNOC8hJpmrExpdjlqteUnvEHVZo1Ih99JSfEFNwFGX95U4liGzVL9s82Ru8gghEpg3Yi14USEmCUXp2N68IhvPL6Qvp/eTaivFqD9aWktD3RTabofe1ZGef3JD6XcxkkWKNN7fcUlSvPcqDC2fjweLWxFxzka951LO/UUuTI55jqsk3cOHFj4JASulBw0BloDx3lcRuKu3cq7zUAJzZitSDDh77U7IBdC9Y3RNrXz+vgPsZvruIGCk3pdz2bFJqQbV/YJDFaoABg0POqsS3Asd04lkGzyOD9rt3qJf02x7faQcnc+6wJIa9z1iKwML4FCZ166HEIkejr+Hz87QaWvm42hH6AsUkbpg3WbyoVyrkQAIja+ylXm43xbMC7mImmkasLD3ovmeII6XeLdEEsdMF6M4SWr+v6+qnfoADpxS+O/WGazA6mBVRiODzz4egB4OYWG0LweqL1dzyiYx+y6Y5MySRhN643nqEcF1O/FrtOoXx870wotEm7z22UxCafSPMj0aDY5GPDmT15zYEgH6fMfDgAblTuXH2ofmpT70f+v0cVQrLdJYtffZQTT47aDSoRjpmcgHb0jMJC/j4Z/D4Me5DeIr2UzyAQK7eEfOe5eROFz3MhnImYBwXoK9API5KbOSj9q6K+iKJU6ZLIiMYE5qoKgzRnPJvzmb7/IZfEb5ySrzZuc9O/D0mwVijMtpR+g658eER6B0CWGcMtydr9wPsqS5c6br2ZI/3gE6LIdR0CY0Rv5ZDr+VByACkc5rInPtmX/Ft2zIv0MHy8n5WBUWWlOdMVzEQkH+k1X3g9sySMV6JhtiMVQlm9guysC/FHwg4mZ6boPvpw7gN55fVwHmX57rWMfmPaJMuFom7Z1iMQaiCbL/YFcrR8VA/Nqc89qhSnADWQnOg/FLYixjbQyEhlxZBvxnGO8bcx/tk+ABjaID4+Y5PtzoqtOmwEOpS+19qW45N2MooDzCV373nvfZ8E2QI5CdXi+fqVCr5BNDWGtJ26JmnAeAGfS5QZR2pWCF1UVAIc29wLw2YEan2pWWIc4xvFBSOr8f8QB6XIMC9PRDHyoUkDIkr4rFGIaO6rQ34JkmvQH9vo3BgpksXZdO5CD9LvGRmb+BOcgIxKsoxTm+z6lgtzf+zkAwRH4SQOhXGR+aEn8zxks7G6KgMMOPYUMCMDnRLI5UyGO9VQ5flGBBsL6r6NrqRLR329DXEkpSnKWVLIP3XOBWJNaqHHRjRA5wzBMwuZ9OjqCSTBy+/akJ0H2DAr2gdo8daXkiJ2UfGwvKvJsUGV9P8uvpA2TLsU1HPB4YdEtton20BfPr5qTkhsKUo/VaHjC3k79bkAl0oti1g0qyIoA9n1qoTxqZwZr3fgYUeNqFk5a7xi1NJVPVQ2DKfw9X4r69xNjbRscDEMKO9r5vmtGdqnlKkud/w9Mxda5uICKPITwlTfi7S7kbuBrQztnUBJPnAkU0zKJ2fNkKJYkcf2U6Oehap3ykljIzQlmhPOm6mt/JyZo6hEPSpezIAibkqpLEnve8F2XRJF2XtBKcEjGSbqQ8dlNQq1AYGW3L7fvWDvBYdDo3ps6ThqQcxk2UwBlY5DIXMl5PPdgboqenzF51GXTr7Su5qbaNmA9ijOUdHGdNepzQSZlAM3hEVaP/31ThRg7fCHndHpIt6R4yYNFGTREKQ0V9on0rZGhKdekRtzO/mA5vsICvqsUAog0BU/EjExSfrXs5qTvvB7RYiOS5yySHCrq3rRruVG6t6uhY37TmzaV3bALkKNZe8Onxf01XF4QzShPttonClnpz002I4UvPP7PZ2wMol+lXNBvTKgbPdEKdpJVVPvKtDohPVPNo0JstGnXUqi2wBFCusZI51fPO1f2Th21gzlfr/NtiqI8qhmu2+J1LSPqMRXLgWHx2u2KkB1lE8uREscRD4DET/rPNG08FxRZJ/Y082wvL5y7T/XEQw1Q73fcy9kWsvYyHHVGJw6xTABtn15t9AZPbaURwinHKEL5YCfGpF3INP55ZnIS3mvBrNytGwjAh+OkpVRov91jt/RZoG/00eURfZDIBkqwUt+CT/XTw67YPAsACEOgKn0NRqhtVNXLT0hNQBo9w5/lmjPpSTXgzlFLhy8SEBMZYXbKx/QVgunyAn1x8MKiE9RREJy50IFySO/66ujPMsWRhR1ZYfTQAhcJZ4ux6ycC/rKRVqfC9qxol0xtCm6JYyH3dDOagAo6LNH7rwj0Z1EEHZFKyphu0nDgOdnoz95+nJ6PHKoc8itFFQ7+WhK1S2b91GdsKSmQrtjs0S7lqEgeeVGaS0QjdvnH8SydvTs4jvzjSg61wjJRhXOxC2KHkPoQH/wgTIsrhJUZ/oEwPYKw1kFaKjiUNotCM9eWELtIcBUxW05FxqHUugIqfw8c/dbAVTqmWk0zTWPFgfhrAd64rhBR7wIpVoxUBWVMcczRAXQuOm0UuAnwEobaEw3YAevJf7vMkIB6ux1qLJOc98b0zG+G+qdmu8JDu4qDb6223TMjzuq7mlwUPj/cFri92eEhCXJk/MDVRHB4AD2rQJHjmtvIjGfVXosqfJEzaSFlPofQtXmaovgqNlm/5/23jTmsqwqH3/W3ufc+953rGq66UEBGbSJMqiobTnwM6EjoHH+gEoMDsGIkGhUHKOoXzCamBijxsQoX4xEjYBRICLQOKRFITTYoq1ga6uhwR6q6h3ucM5e6/9hDXvfquru+v1/TXe/9F1Jp6rrve+55+yzh7We9axnoUysQstVRM0ZdPl1n/feKE6dj2TpamuV0UlE8S1/YdyxtLfNJ70vdS7YylK7I53L+Uj7zjiZ1ZGBNBLY3xkhSv+9EzuKBhlC6iBQhnJrskA6qnpNjCDIxh7RNQhEFgxZ/221z0BGlF57Ezp/Pul1D+FtDfaCHMs1iFDUoTaPlYkLJdpB62jKYHu4X9uQyrZ5LE91n5IsNTDw9OMEFa26OIl2H97klX1/HZMGSIVAxfZm6/w8WppTbK8oi66WHNu6iHtbZuuYrL8PoCJlSVTUsGcIG+o8aP+ccWH59cEKPMRQIJbYT1zY09+PtySAd53vmrPKn8vmfOzrjgYRLCPgn1dn2VWJfQwessrvCnaqEZSAzrYqlyGEehrSpVib6rSkEN+iohOuv5iQj3NELDJVByWZMiQA8O5oHrgJHXnDKoeysi76fJxiYfKZQRvHTT0SEG2KdZJCeMgRg7ywyW8OSlSSEHRCTFgFf9xhSBqhRAdlEmsLntRxYL1PjMqGT0tNlaSjXMm1Ap18W8U8c4P3BMjbo3XxrRsSFV0EaWsM5yQvNNrS65MepDbmEGg+0tJwDqVWuJPrxps0Uo98eKHIB7PpG/hikZl679FGYMKKGHoJ41YJdCi6Nwt0jKccnVulQX/ycaqomkUfcXD0xuNYJnRHhhgIFHXpOJCP1LFGLAeDHgyjOQZDk7pLivZ5WwCM9p+3VreURz7OUYGTjzJkVG0aMk5J3JulUxyRo0lRmLeRpI4/3alI9c/glojNocFyzcEHsShxaVUKPid9aVkqIDYcc4KSpxxIUJoUnfdYUVKy8YzGhJQLcmdIA6mzUJYZy9LVfjxX2KoSSSAjxRyMNal7SZEeSqQlxn1MMhuaJjVUrLSYxTpRA3oA2AaejzOwsPu2wMEjYvLU5YoCHfWKjXoIqiPqFRjR/sCQgra7L7JErl6SaMsD6MFUtpQHEOJmnj4mgPdG5T4lRWYw1j1GxbkI3ZGuld60R3y+ZpN61zQP4HA8G6eNDTmmop1+kRDlvBGEeUrD0stsbTvWU+uIPYD3DTk6M8Kb8KURlt7VcQ818KLoCa1UVyQZ3wRGTo8GiNuKMtOEo5KRTS5erKrRzQXmxKrYknH+eIujB5JMNegM9estttYm2qxVnQ5DbzvjyjFF5YryGa01QYI6YouuNj4dtfKLhhT8nBAftQA2rXz/VZRFnTZLww9JW0kYAp4Wtv8bNygau2aJ/Zi8wsc0VWIOzpTPk06SIrOW2k2mmxJ8bENvaNBxDgfFuI3JJe9dY4pNJdyLDa7STjWCQiMBW4BMCtCr5zhuW3Tq3A87YKXXRc3bVbq+P58x7khwU2TK6C501evvGGWWkI66kMsHdMGUHYas9IBGSZoegiEX2wV03OlG0/SW0WgTcWCwp0rI/t3l7xMQp4DxDloegDhnxJVJmbQ5lEVt0knIZRMZscxTXAnqjExMljgrAVSKlkvTlMEO/Xv/BLbNMKv3q6XODOaE7oQw7HFsZiAj2hpXRAfF/pjr2ATHw3kx0DRHjUhTCOb5puKbrROBeUsjAwyWE3eo2/OnloNVQbaMcaaHedmtpdtORpMkoEMrO9wdq17CoK9BRlIRtiFFJ1Ltu2NprVTAJ/r77qRFrt3n6kCQTNFojbcUFuVdc+IIKkXfc8CnKoxmn98u6sw4ajWQCrT1DJzkaDgYOXV3UiyCCrVegv4umSbGaC0TRk+BWlR/3MWGzBPnGGi6SEZC2tLu3VglnU+GQkohlFVGmlgjvyQVQZnauDsPBQkCPfS42bRY1OELtMOjuyuIttXPaDpn5HVUBMBaQ8KH0lbxaqFI93QS6rYimvII7oOnxcQOYZM6iHRDNpHBVQpxM6wEZb9yAnwt81TTD6MdTGR8t3ySUBhRUup8K54w+gsZo13Lg6Ro5TFXAbi0JDBn6xIsKFvQslg7aLlXtBiiay+bCNpql2tvFtiB0/DYaAUTddS1UWaKajovztVhxcvchSJ17Sl0njTVKIbkYqi9qcY9ruq6hlb7oZfO91H4wFuGiHqU7wiqobayqOWzaUnadNX2TGKq/2b9gYL74s/KtkcXR5ek7tUFGPdKJQiLowUp1g0V2LpibTtiAZ90mg5j6RA8PEfbnEOXjB8iMQS6TjzgCWI9gFWGHHbAjAN9DrL/sYqm0VJTXC5y5yyGQNEJtTiAjBMzsXv2fYhQK0WhjrY4ou4Bb7L929Lmvu7Jyq1pSOsclUewU42geI6SJqze8mhRskd6zjEQILRIPMoH0B1pzTbca+1Y2eZT1j4VneZWVcHQPHggWN2O2HjvCumtB0aWaJCU56nKu1t6JuD2bBGwvXjtHWGRiKMctiFGJ07S+wz0pEE5APVUkcWgOn1O9rSVp8FMt4JWtCYTLalpKOjj64iLR/hCwd2RrnZSDiIticKQCaYWS7HIsj0bogcOYnPJjXJiK98vxtNB78JSFfpU0bEU4m7SHn5WWeSN7FwNUq/FgT448S/PTYLb5gp5xCEUUK06sohxddKtRhIpFIV10LEWKfgz8ZQjGo0DzQ9FZ9V71GEwLhEU2bADy6XH0VS9RGTiUbt/darfDYKOTUt2djE4r9Aqep00ryge93U+ikPXAuXxACbdTdHVOMh65qB42EXRBwgqF5/ZSMS0lophIVCWqOJ5ONn7HEqyORoG+r+50yFS0z5t2XJpnBVP7XDrzFjKCaiOQ6Rnc53D4vPdJOeJ1MEhsfRKQZUWd/JhQqh4phViDTrAkwZ918mc5CAlJovUW/IxYM3goJVEnRJpvQ2HE1vF+yTZXuWOcF5SNPaT3TFQDrLvWzuYBVZFY+9qKjU94qgLoI6zpcJ8nouFwx5tx/0nmBNgz2a6MiEBYUEZRKtyfD/hifHGHC31yjex+xy00skrlsBYq0LURngc+9Va6TDVMY21bL8a926Vbr5+PYUXEhaeZu1EK+ycv5b03oKr1zZCdbQ9S+yN8Z0CQ13J7tnm4koVtgMN7Y0Tx7XVRzS39f0cqGdQJ5F6CpvwZftQW3wS3JyO69j4tdh/5uu+Kiu76N7V2qlGUALiXmSkE2sYBejLWVn+z2Ayhya5EPpjjWYX19kiWmXkQZvMDXsKa0snISk+Hph8Ogt4BoswUhyUnpv1hUuLrOJeTBpxALWhHVD/NPIRbzPyXKWYi0VjMclhEc6StDkVAWmp5b/jGakTToD+om7D43ZR4uwqQS5ODJZUT5fEytmGBD4YNU/sm2USsKc/SDRnaA3zsFSeBuY5ZN6lA1ZnWcd5TCrIlkRJtb2OKy1T9OgpU9Qovx0HcUJfrThI86wial7Nk7iW14UzhOqgARUSX1pJ7zyDs2iahBDqm5F2sY2Bd4vmcVt9hvO9OgaessuVCOvPIMnz0/but2u5I++PcL4IWYWCozZpnsHbBeM1o96D59B7UU6UlWrzzJyqZVJiHLGOieV9QQAf9ho5dfqOHKGI9cGoG34hbePeiekxlIq2WNqCtkpEXTHOqUa8lETTggkKLa8UFYvceG+dsaFOt0iquilJwKtcZe6TIBvnpVbPKHIS+7XtpkWqaFtrqXE8CieMTRnxIJomSknQ02i9exgPZdTcBxk64+XQnksXizBBgjTRDYdhLQ0641EtMjBRhCkf9kpYtaaYGEz4ywOQkTDsK6pHolFmWihfio134YeLdCbnbp8BAMkmvOaHE0HX9ESh9u4wgTICLUsDYTjQ++4uannvuMsoU02X0HGnc9ka/EWfmZGQjhThTYPuGSpApqiNO1bexsJTqCRKWAUhUjaYMNKFDjJVhNtTDLylJFk6ydZcUZDmxilhRa2pZPQXdXxA6vyxk/dZ0Yl8oYsybUdlNV1j+4PtmWVL710aZFYaxIQtZZJP9BzgpEhOoNFzk4iwaiyXvkdSZ1zLn4HJvT1W1xhZdqkBK89KSEDAuCkuTx/om0vTe2pqmSpfzRBuGhWxGc6WGqQ6PSFLENxlqKgYOcpvzftokaJk2dt8YKiBoCMg2iIAsR7ysUbS5aCEQKNkUQ5WgcpTZEByRZ31vh5yCV5mpxtBcTN4NdLPHmHGRg0EplVUF4AKQvOjEgpR0w9AzfNHxA2LpO1QksaT9A3H4L8o8fIRTs11rSwRQHBhAup0oqRfDwjJcy9hc1XFtbJkAWjQBRsVQs48t+8nj/4tBeIogWSpXrxXf7QRjm163o8jnokQCxJArcJpDhHVeqAaBQEVzoxztEnPeOjm0YvUzwVE2nx/vRdz1vxd2qbq1QvR7sDfKzfXsGiPJu7h1ugzyi4tMrks8ovvrPcHGFrgEYkjUYQaCSXV0WgZ7ZKloiqGAMX8BGqTQP9uQ92QGjE3J8E6LO9Rko+7z2kA3sRwTQiOxAiPWCspbncKsvYOUSnkirE2h7WZnqy/Y39Ofw+C9TLkIMlWB+FK1qZoMhiZOFI3V2r2N3JaJ8niytd9OEE4AFUhFAhHrZUV9+agYqqzBOg4tHuEP6ofFKLrWSZ1boghMeKVgT4kPi8HiqaAyZBc11MJJVgxRNeQEOcY+fsX75jtMuVWkqsDYfuor8MWlTMOgrc+8KAmGtrZ2Kzx1qD3EaRUJ1k2iG+Qi22+KTdKUaJoCSKIcfYx0Itf8t2E6khC53GMv6+HCLDs3r2Sp3kvvgeuteHw77P1R84TsbMmEBcgzg0SUqfLAp1QjvX7cWuQHX+HEVR4cBDIvc0loUh7w/cumycR/HU2R03fKK7TSZWkjwaLqBwVe3+OyMfc8j04G+LvnCsg+E7igIBxg9rxi3lzlXa6EZSMQE7GXc0H0jLVzcRq38Vy8F53vzowEs9KkRQAWn7lHp6gMqoN9qYxWSfXynYf98wLnmgFh6QUMBdl9YIjF9cuIrdR5cTLjol+LZIROfXFdscZhQllr6B0EqXKzkgHoGkoi1bGHdtoLPeN3VF9GBIVIest4hclQaUL05qXNvhRFjlIvBER2oJMFzsrMzRCY9PA0IWGaFaAEy9/9jpuWEqI64aXuDLFDfLEHmveeCDlZiy0FFE6gUA5FmmearWNbwjepM5h0yxA0QZuPM8Yz4y2caVaaWTldzK10vGTDBx3uv4cFcuA9FCOk88nz7O7A2rjS4WQLnaKShXS5mNNaSgI8f4iPXfYR6QDh9/b5/H5J1CRM2fRsz6n7On7TBc68K7K9QsT8gOKZBUvcZ1b2abNaTrKFSXcLjp/sjkmi4zEpEgNoHNlRSjbRflURas2CFBkaaanlTCQzvfgvTHGB6JoAvfaqJCXWef89lgLXJhUc4QTxmVG6il4JK0KrE6hh3YwFiY40lFBAoOFIu3T54JMfJmGSrFePaORY8eSsCwdVmOu/+7jPlHhNt8fUhaUIWnV1GgEyIWmUyVrZYUYj4IKkI8ySDLGvaICWMdp7XqwVGk3Nz0Y0cg9Lwirs6yVMuYkCCki40Jiw74etDwVJcja4SNZMByoTIEjfa6FlI9TlCG7jAFvKawvY0Z3ZI0FSfdK3kJI/YewV9H37tV3vi7zSQonatwvlvLOSg5eJkw+0WM40HHKh1n33k6QDjPSEhj3dE2hE5W698AHet3VPkd7Ecn6PTzRBpbehiONQNkvyBfympZTOsxaYmuijk60HXvG5CihjJ3dM6xRoaLPslOLA8q2OQNb1nnbSoBDlh6AzLsoG9YqU6nEakh1FAsBo3LP0GtjW2GKKsU0z5ApIz/Qa6reWk14g9Y0QpFpP+smDGwPwFGH/nzCsEfKW9splSQLKI9ou0RxAZwCYARgd3Dd2QzxQSCIsLGczPmS3jIB+1xR5omunXS+s7ScVIfmKuz0IyiNRxt5Q8+5exQJ/VmQTNt8W/AspEbAHu0CFe1w9MHFIz1idvQDdg8OI0YeHvVeLn0vHlEJxSHnnI34Tvd2XS7YHe10+XX84CMvX6Q6GUiwLkFvkdBaPtC9Xj8UCEF682dey1O6cf08ZbbI0J6hRUHc47d7DoG9K5l57WS/VwlczT1dYQx0bGqUEcJt7eIE1hEUf77SXMfTXsD6O/YoyH/Xxk0bm13hOezZ23F0BG4NHfLrJf0v0nytCKH/6a/Vc9X+DP5+3ZFp+B+BMFlU6tVMcd0YC8vD+3XRTIfGWYjb9jFqcvRivBEvR5b2l0hqkNg8f/sZ/30AlxFjW3NExLkq/m9uzl9JVDkoD2f+nS7QJkJr6aiQkm/nbHPZ1ObXL/mcrjWPgpvfjbV1ydj6ZdbQLTQppnYgahWjfq75uc8p/w5HBRhRpgwhQ16b7wBq00CLrGPtB8HVfj1LjYztGtFMr30o34siyvZ5jDqPkj9jM37t2Bh/xq/DndTPUx1HJ9iGMq7P4XaN+mUZgWatmd+Tj6evKx9TDy4ufR++7/jlHZWX5qyJH9pnXU/I58TaGWTfnRCl+Gtr09Gxdj/xfcKv76i4/2dz3FESryi7FN2OfdvNkTHnUeXmmpfux44w+7jHOf3Ia9Ht1DsoKn4kEVlIFkzu0yodWqWAIdEx+OygkWTS35NOBcGiuqCo+JlG5RIlXgGNJ1j+0EinrOWw+XynEbgT6OYZ3X0a0aW5lorSiqqAjRE2AaDsFE3FLHKFGK3kjyeG9GQGzk8AtuvN7TDIoo6Q2P3ujkABpvdZ7m+uTQtppWJI4tLF0GhrOGvcmlnRiMJIukH29JI5Q494S5RfskxrjoZHX2mhAmHuAOYjE18yYbb+fMbkQYtIx4T+fNIqA5LK+elZSxNtA+QOFZI2QT0VMFKkxxs0AjYeu6M2GtsbayMzU66MhZ8VUcIyR+ms7KqAHs9U8torfdKCalMvh6BXdfy9tJT3RyUMOiyfrYKok5DaDiE+AdJhB9kpgUa5A8GeC2Z9xsmnOhWta0qHiTX6yROVlpZrVjYX9L2UpwwoLhJnpdkQ0hJGIBCitcZdvnlmUYnyxkl1wp0751IMWYDOO7IqAT6ownRsUV7aHlX9spDyU0xjx/9NimIiPCYVpUvAKAlcTOreUjeKi9BDKskOomjjJNr7AkvuUDihy/rbVywztp2+oIrDESkXqxRb+0NSrsTUIs6F3p83dYRxkdIK6E50nrErQ9sBLJbumTyoa0GryaSSjwnB1/BS3bIlWF1XlGx/QqGQyhOF1/NS524+1jLnNLd13tk8KoR8qHtgPlbui0vAizsFRedxWkEPn5Veq8yUVCsTRtlhdCe6BvKhIUaLFBVE5ewYgQhlwXhmVFVdV0YdawQuE1ZkJiG0iZCs+mibsTpbovQ2zU3OwIi/LkevpcI6trxromFelgw9DHnGoOMOvFeiqgYCTZ0ZeiKzgjIzvtNIGGd6747YlIMRvKWoQDrsagWai5kZaoAJGz/Ivn+g2DecH0JsVUpObhVoI0gLvLqLOT6PCWvjWk+HnWSUM9rKBYfaBgOkY8DG73FLJxl0vgeNiqzx1LhRx5YssaaxNBD6B1SENC0VrUtzQveAnlv5WNu4pFUVEHUUanKfjt94UDCeHXUP2hkB0iaKjiiyC84t1etUIcOy7sw9gp1uB8W8RHHehnE+xBQW1zxboSoJjnVvH7A/CwVJ06sZwjMXVC/VNxyHtjyiME84dA/83szLDE//EoEhwKBGPwCyREmeZE3htM22ggXPzX0CkZbxkueQk+8kEJc2d4tOJ2uVPLd79Gt6VOzPHDwDrCEjIb0OWJMvu3fzoBVi1fsVJ3jZZsH+LM4daSNQe6ZATYCaqzUnJ9ADjySa6MBlw0PFcKTaU8g9+QYRio0MCO9/rXULSZWsFh0fascjoXI84v4d1qwRaOThYw42kVmWkFYHCUIm3MfE34NAU1x+Hf+5VcAgoVF59c/7uEiw8usYy9o8Cqcc9c+oRvPva1DBWE/AGq+Ekv1/hWGs9w7qGnWODaCpIEMvQgOlieDav2fiIL3G76D97MNvb1fSVrmUhLsWrXpVGrCG8gA2z3pHDmht/3GJe846/8XnszQRvR98aKLSmOuoCEnDEVhDAW0eecRMY5V213tAzLN2f1prA+JzwOeq80T8u0pzbz6/DeUlk1DwNgtixFz//coBQY2qR3t+32dhY9e+gksd0iugFbEvQ+9F7L4CZQQC8QhEyv7dGzd6OXZQARqF2lZ2P9a4E+2bc8WrlFQSvxknC8DiXHEkK/b05hn9PtnLtu0duf6SrfFAp6H3Q75/+pjYOPvYx1i0CIx9F/cITR8hvV4qiMpO8c8mMZ5V8y6dQuH35Ci87wftfANqoHiVdrodFIZOJMvhuyDbuMfWaREITYyBMLmvayJp6MvZqodDPqkVLunE+CxOVOQmcjZPkQadnLynEXdaJCvPtKgCAG+z5uX72temO9+BVip+5ZtIf6Qy1WCEGJn0At4tSEedPk/P6vXvFxNUsgjjWHuCpCxIe4Oy9BnR9px2xqgi4hmbhodGtPnMKhAT2h4h2cqBvVlV4+QgQb3haYnSMRJS79lgXiySIgcTK9Xe0gifd0etZphJENKGMwVi3B8XDcsXu3WHydsWABVq94j1pNGYiUMTkGUyVVRjoBtK0R0TJg9oZMBbig5lF5IaqLYJGC3a71nztNI4oVMGnVnp+Jp4mUyVJCrOxBdbtEw6L68Zou24E+vcAYmDyMY5SnG3NM8+nCnAwWCdWG2uT01HYZlr12YgNgNyBOYor28G3oCx02tEOfhES+rTXPlclEU/a85id1G9NBqhHJIQGkwVmnbtG4I5JUDqBCkxcvQr0XvNfdFGk6KfEVYnSwDwoNU4RIKh1NJhForGfgCCj5JIXZIla5O/VgdlyY10OfFaj57aJJDWuC6RKmqcN7LS+3y+q0HHmOrGbO95ODCxQU+vWmk6G9ejbDPGHdX+ibLipgRcBdSoStF3Ose5gzUJhEq5j7q2PSXpOjWOuKaFopPwKhYBeFa0+mcA8kL1P8hKkfOCUKb2faM6FtwB+UjncD7WMU3LpJUpvh6T7pndAx36o2RVk43Ks627tCBgZsiHaQe5eFxe6vW1oaeiQYGouuibO2ZAdRbNUaJFrsKWogJlkvW+/LB1Tp0ihFBi+JRDD6hMVc7fUzFpRegPq1OgTUGpvpMRyBe64AD1D3Z6VpwZjJgPLR4wKQQIIe8NevuB2hrZt9P9KXiFzpFbZt1fzJHqLuRQHnenULaKVkDZHEpjdbh8rPKJ7tdRsGHOg3Ra4cO9YLxmVBl+IJBwGqCS/ibD4c6bbBVFuayiLJ0YumRIi0tlePNHGbRBJm/rvfYX8pr8wiPZ6XZQ7AAjU6SsERnWWOkeiURzLPfWPRdqn5NOD9x04gqL0AUFVG0A51ZkI5H6ppl0Urqyrf6S3Y9HpHbI8URsIzKvOguGXUGZIDz0ZFAxbMPiiZi6YELwCKz0kLc0XGCHzLtahggmyDJXjRDfEBMgy4xy3NdoYp4V1o1I3+9ZouLD708c4h+p9uGZmMDSiTkZWfR+xqRw67RG+tIww10WORnBOUSi/Ls9WiArSzT9AJk2lVJ+gDczOpwK6O/yFCF45dAzG6pCy1TJ1POs6aZLozlDX9hRslaMyLkF/r69imwNkUHzvmDl0DbWgzpVFekAvEIG0APf0RVQk56JaB0RoQlTjXScOOj341G1pS78MJWRAgXx7r3O2+GJrEW5wuoEielcuLKqq+qKR40ClJIM3VB0hIwQSwlR5USOxkF/nkjnjRs33ABHSC4VXBs5a0qmMZaE8lAcp4cx5Z7U+3FkIbSJnBOWpDZRW6SKVMSFaA3tDJ2fIdV561Vg4odLE536fmOOLBVY/x29fJlJlB9HAGEfFz/bBLWsM8FKg1GDNLO8RFW2ZZj+So3iI8pmvf9wkKD3WHyOmLNFozoqKoQIkAkZBklddD8uE9GAqEFuIuI23kTsCUYQd3TAt1cfLzKENqpV7CBvUQ6vuhGfq96HKyHS9ur0oT5Lsy9Qsa7MJnLn/X2IARyZ8JoLkrlyLAnKsulHY+h0MYco1p6Ni6OwbEFK23CQHL0Rm1+e+nI12xH1nLKx8xQ9SCkL3mnb9XscLfffUQcLJnqHSAMGL8jWQaAisPfhyHlu5pbxhCI1fWl14CPYqXZQpBPIFmuOfqiTXHvimPe+1IgepFEIgCC7RYUFoKxmiwL7Q+WlSM8hVyyTCp9CoNUzvSCErrIoAuFckOYdUGoWXTJ9C4tqAIAmBXzdCmWXo5nc5HyKBU/bBTLTqNll2akYQjJhYE+rVGRMih50olovSZ8xHRpLvDNOBZumwlFG92AXG1g+zKBZUUfOFjhNjYfiZbiGEtCJcnXyUnPyAECzgrxI2sp7tHsbCbTImN6fjMsAO3jFDjTz8hOQT6iK3QHrpXi9le2KihIRkzb1sxSO9uZouBqAfj8QVUjjfkExfRJypvxKEZX+MIEWKjU9Oa+8Fs/1uuVjQxXmWQ+GLVbWe6SbdIFSx6phQOpYSNGSbko6R8ibfZ3kSM948zRxyLTo86Sp9b5JgjRV5IEItcmXuEOhm0AaACkmfW0S3WluUYurISepvZTGpOM6torHKYSlaCTwTqn9U5JxXUjfNw3GASqad3ZEJ5GWIfOgfJOAf63CBSTInaEouahDYj/PSXUbFNlI4KjquXy7ylDkZcldOCie9llxDkQlQ4LT4taWFrepnZG1OodIkGJMTAODVSsmeflm0UChN5TJ147+D+IgS0Z2h0A5ZL2lCzvU9gsddC02ARQ1jqE363OHtBwUbWhnImxtms2dKRIECixZkd9iIo6V3Ar0h96QFIGsAIgydp4ZIjok5CNVkI6S5wKUbYniBMnKx8jHKcQZJ/fb+tji2APKTMXiuiNSsb+kvJW0tL5Djlr06oj5Hr8WWAKhmkoFgVJLsucwDmE+0tKzvLB9YpmjAhNberjnOYUD793RYfwdyUB/MUVFlOyOutxXhkYVYPopayWyOyg6dJRD3I+OVd/IuyGjWKUiYBV7frZQrFXsjXqmTFiDXgsYnEcIATBlpO0RNCvrfW+8sqoDYHwlImuse5wUtd7W9gJe/aoOnkT1Vdnhiso6d8b3xEK12STZvmAtEaIZLus7kKnEe3AE/2rtVJcZp3kC5VS78I46ebz0EbDF6569R0AWofMWR0+CNDoUKwphJdGD2DaPtFDxIm/VLQ7VT5RwyTNWwaze9SF0omAieggWUknxJpqiINLpodRWII07vrugKf1Vb907ZuYlUE4yZFc7CAubmM/U+kj4xtWRevO9qNiRLZA0GHHJDkme2VhNGZgwikDTBQS9x4Ka5+ykVqN4RD7v9PreyKphpo87EsiWGAHZUyLF5O7Llm5uPKvvmBxVSARhLTUevZOmoxxNdBplzAKLYGxDb3LPLq/v756njKG3BTckTZGRmLy5vjNaJuWCeEQ047pYR29RoN8j3tjvuLNKCGkQGVvkE1YOQ1HnrLgIko9Z1vSUjCp0JmMCss5rn180z9GzyMehbDPoJGtTQ4v+ve+Rok6NA2c5aj7q9X7HFBL6WGpnVLLDmVx7IkttHzEkZOvii461zN5KlrnJiWsFjLUKEITj4j8rqEgSoM4C9Vq6z0JIiUOwrS0zbkXXVpwhsk6SXZUOBKC3jsdX0kFpnZ5We4Uyg1l7AgVXI6HO2WIOCtlaLlDUklAdU+cN+G1aSaemlaElmTNW5NaaWNKKgGSEWOMueXCj7SssMLN1NezWeZ9WSVtgoKajqZDuT1taXedluQCF7DlPBKsz6kBItso5R2BGQ0+alJc2GNT9UCYCtsaXLo/g6F7Z0T0rLVQaX2XgS4yZ827KzJSVTQqBXVgQWFceNfE1MEBk6PGEa+VOb0EbbJwnuv/BqpbAilo4cV0seAArOZkt7eaikWR8FkXFGWVM0fIDRYsGxNBl7rM6aVkgx9oaRRztGlNFPAnq8C/X/817CUVhB+v8CfVZ+5xMGEyWfu8EUqrDjwmj7Np08H2nV5S/GHqtDrSeITz0UVyChHU+oEtC2LsSOzNUzE6iwW1o+FzKBzTUO84I+yyJBnhXa6caQelOVEree7F4O2znHAjZIehOgBPT7HOYFiTLg6aQOQfo7CqQGBIABZGj9O6YGK3HxoRVydG/u2nmFiI3q9QQhyQiABr0+r7hO7kNYps+dGNMpmQoTtocdQPLC2viJoiGfXlui8zauNO0gGYlPFjaGUO4THOMJQhNslXi8MzTArjeSUuKdITWCWU+IS1XLdujIiUNyS6exyBJ9KxIhy9Iy7+6dy3NomwbPHoPBzFeiDua5CkghyvtQEnGHtcLSTTMotmIEK4TaF+igxXSTDVM+GAACIE2ISkMHT07jMMRXVcH3ZiD/LZSZzCaRwpCpwWjbS7OcGcdX5ly1Ylhu1/ntCQBBit59Z+POvfbTAcVAmZFuQPm2IBgSJTN/aZqSIz7ko8cZZRIadJAoaAZjTG9asUqdDAkRQaMw+IHjpiT6GXGlAyJMGKplKSVFEttvshDWiP6ilD08gGA7CX2l1jrbKxKBxGgaxyUUZKqx6bKP7mSkixLQkG6xEGxjd+5OEX3D5oWe5eeT4HOKdsjxKFuT6f6ewFCEMzl0dMSlvZjfyVIFu2GPDwhUik8bVSurcOuR+GOesi2KpaK+XzEyr3SdgSAp0L0YNLnlYlgOGgcB9RlQ4XCybZBV8fEidaefs4ACqITPAhapbY96n16dO/Wie6/S8I4A9CLytiTHWQ+Zo7m2P4XomKCqHjxFJc7I0Hen2igVVuNGKLVcQgxhqbQrIB3tYJHLFXvHCHJAM3G9b49TLpPBcJsat09I4fmFEcqPrglAPLOWAM9QgQKunfYvRqCGsGWfZam2qE5zyn0a2ip85EmWk0jPUdlanRgtqBMA0SoqvC8nkuSJFLwJLD1rHPbAycaauVWWqToMxS8mAbBCx6WI9oJqmhLptVzlXaqHZRxxzptWiTgAyVLg+vF0g926LaseIhuQmWHVTxpWjcUeXBSoT7rGsq9bRANzMjWVn04YxvHKmnDN+OJSM/AQiXiy66VbrqQkHUDVhKmHhJpSdZnQUDLCu/yth1cXjJqvWyWZ7X7px8UNJI5AqgCWgtFHXi3qPNzoY/yxjJF7a8j0DTEPCMqRJZZy9rmXSAKEFts5kSwVedEifVxtzY505EtVnNovLmWFNKUkUGBkV5wljv072WH9VnMC3exMWk6j1ZdFIm8Pg1UD4pkVSOORpjTwbvFNi9SCfZiz2YRT9mpm0pIlQPhcCiJUVNdKgMtteEYNIJLC0/JUYjD5QVVrgjB2glIjVzcuXNnSKDpFNI5m6xDa5lK5ZcsEmSnaJnnQamQrFcPEJCOOp2fLrGddT6VHQbdP7EoR8daJhwNwpAVuYuIzwmHE1Y0y57FS/f9MEu9IZl+2ok5K5Oi67FjpElRZ5igpcWOvgghW0pmteowGLnjUu5JIhVlOx4nGFcdHljuxM/mY69EW0vzJJIr9uJxCX1m7X6c7eDOWUJhWbY0nSWlaaS3slQaAasDsYPbDn/WzZu4qWCw8m7fzMu28XhEUbwy1Z+XqfOHbB0ZGkVMtULPyJHK87C0R9I1mi90tSIQikw6mhJN+JKEA9qdz40TpcET93YfCcHpSPNkCI/UihWPhg1J1d5kFjQOBCxzcEMg9nmCpp2X2UqlNVAZdkWDwWNNQ3hZNbHuw46mOlfC9UM8DZWOVViNpwye2Zhbqw2X2/e1VWaihF8yx2Zlad2uOibeADKtjNvnZHZfmxZs0DzXg3qRlYvo7T5Yxy96E2Xtjk3B69A1Gm00/LlYHUg5sYaHBSrkaWj6eKaEcxoVo/MOdLGvKLIjltmQi6MONMJKj5V3E2mhZllJlto+Zqll8VGgsVdCXr8/oghovEcYrMN79OdaZkXuku5VJLWP09XYqXZQtIU2queWEIvZIxD36MkJnkB1UGxyaG24hKfqqIQ4GdFyoxopUYUyOz34VGcCCB2BgCSl5u9MotwjF7LSPJdXT4OJZ9lhvyav7DLGWfTzljvWjpMSOV1iqFMkqOTKwXLpW6MhQSmchXUdDB2XiNysXCwtqEY+HhFmaypIdXFE3txauvtmkG1D8/9ChsIXuS/I5N67R0CEIIl2bCiJbtZEsHYG9b6J6zWUNIuKqnhk7GPqSIcpPbbkUvJooKtOGGAHt3GX4t6yNUt0R8ArxpJ9LiPkxP39BXLjUR3Zu3OUIPm/Ue1hA2jlDHSuJyfL+iEmUL2CSdE5vVUrLeK69m69h5SvF+cVdXM9KKJBYvYKikp+i2uS/edNKx0l8uoe/5yPAxBkUiIgORKToJVnloLRSjSOz0en4pIu72TcoCcihPnQQ8aE+djHvw8lg3ldjfahuhn7d7afJZLarmDCtVWEHZAYVTsFUAdmjbBt6GlLRtWxRFTuqW5OPFAt/e48PWDz1A9lrteigkpudFSN1MHIC9j+Zd/r65xR204QlNNCQOe8NEJDNEXM1xhzT7e4zymIZoaxDovdW0ZFA32eU0UI8rKpYiLUajh3ClzuPtt6seoZfaAalARPB4q2qhKzxD5IlnIMsrKdEdKLoom2T/n3epDrIpExtuZUkr9bP0OcG2PvPhp8Nh3TQTrPQ7rArh2ctcwRrHnlkb+nZOdJVH0NukfR9ljTP6QOCFlFVosYwb9HDBG2te3OkTToTawDe460qu+IsgYWtFWs3NzacjhiXWy9W2owWpw0VWptqu5q7VQ7KCRUc4xOnLIFzlMVshEbGDEWuT9xWqrYVH9fF63UeW+s9e9cX1o+zNGSmresnLmXIDUCUCTEO9QSQuBMtQFSHEhi6AdPBKtrlQBJxxllS1SqfqJs8WKS2JrzJoPRWT3qecZ4UGpeeIsxHrByJJoF6xOUB83PSy8YnzKg218pFOy/72zuwz4IvLJQcbmyV1S4CwAOBtBsROo5eqt4y206VkIYb1vkXrQkeDgo4SylqUXrc43y5LiDTLmWQ7ddWr1yYZFrB08rz/My4rKvom1prqWJIJhks2jp93YJ4TCxzSb970TLRS1dErAwoGjXItd5MibryGqLelCY0wnCbZ8MjEqEdSQnXeggnZHbFmmtpfq4a0iVp4i81LlzREmRPymKgMkyoyy6kLge/e8zg5iTRkW8zODjXjfglVYlCZPORVbim8y0kSQE6B7o9HlH5d3kC104TOGQtOc5wQiyWsVCtgHnY5vfQ0058UjB/WLbmNI8odj4JnvWMiZwyVU/o3ESBk4YOGMcMgrWHY0uFWwlLd1kIVxcTAEGuiaFsxg7MBO6xMg2+JdzUGiNjOtlx4BWIMkiR4o4UMmdok5zIYyLzgIPS8N6VGxIqTZbK+Be0F/ImD5oKTSL7NORjceipiO9OSCJOjHOEctzr3bzaECiWsudjbQg5XI5P8AQEJ5xgDG+Bw0HBZKBYac6RWk0FGS09+pOwDzHfWhaQFPMrveR54rkjduGPBY9XLGlLmGkaXpBf9G4MoW0UeFM91SIpqN4oqh03OdZjhRqXnmxgc55ACEjX4ys6hVlJJaWHamqxDrayqgowaiEdy8Hly0O1LfsMsbrhpoKsoA2GgoeDFrsMCRtIugpMkMzZIuBKaOsUkgwEAFlvyD1jH6m6WRZJb0X35PNIeKdos9pc0t6UcQV6kDzhMORAxBCfTD0Tte+jkM5KNbAUN9FXqRLHDFznA9GyFQzC9Ib3y6JniNDCh7h6iwHR69ss+0l2iaj7KgoqPjelpwPybhkCT6snWoHBUD1UoH6p0d9Hr0IGr0BWYuac4sQ2Gdjk/bLNRF+fC41EbygtpZu7iE8fY+YLYrQa4j1aqCaV/Y8ZYGiJqE6SDUqLaQ/b6pVKBlUTLV0t3IvsBbFpElB7izC9mjMF4WnJ6ROVlcKBfR31xrLOa/DokbuUJsOCsJbj0ZxZOPmEcHQ3CvZn44geMRln9GKXTJPPFVkiqy6yp/Xn98PitiV7ZAcm7nQoi5ttOTmc8H/7mCEf8aha0dO4oX4nEEToUj8LPpYeGotiLztd1OdW1wjlTYyimZ17pw1HKEQvfPqIkAP1cxRMthK+0vPtRlZ+36h0aQQ6tohaGlwO25Sr+X3L42TH2NYh0HnBVtJb4T7tHaZlmx7qTmvRIQwjpp+bBGSS8XUrmRth+QQiYvfX/tgIGPUHiJtMNDYmmy6pz9LM+aOePjvNXuYa6lohY3U9eBjV5qx8vfl67sgnOYqSoYanUP3JLG1DZgTZQhnDJesz3Mq9TqOzgT/rJk2YhV/a3PbrudkTBopomhHpttmeWKOnX+3dLw+nm6+X8fzuxREE6TZOLWTqu6RUBTb0Nl2vJRLZEiB9+LyazTIYDIuXQjD+f4lutdUh0MdptjHJw2/z68tqGnp2H91f/Wxi4Fmm9ttRQxhLcUaY2IEb3SWZmqfxZ/Vxg5AqCN7FWWg5Izq7DWOrr+L4Ao68tasmUCvHn45Xman20EpUMhpoh5vnieNoO0g4xlrbs8OilD+YyWqef60O1Iian6g0zx6luhP4JGnT4R8pBE0TVkP5FVFR+hI267HodIZdHjUablyWzcOaMTpgmLmaaaTpKkBT4tYVYessuqUmPdKyxyOkxg3JJRtjXyKBND+yjz06p0vj6bKpN4ZtSTU4EhxbslIWt72lJVWwlzodczGBF50KCuV+u53V0qmMqljumapToOTJBc59EVomcAnphOQoJLSI6G/rwvURXbH6pTZBM8mH80zE35KVbbb+x2VHQYZyTmf6JjSYYf0YG+oA+k494zhbMF4jWHFY3UK0jxX0T9AhdusTNojYiqKWmi+WNAdqTy3L0jVNbGpuaeE4zxPVaOCbPFPC3hv1LFOWjklq6TOg/GXcDDo3xu+T6Qq/WAf6vKlYg6btYsHKfLX399VBzAhxO5oUjBcU+L6tFW0qWICaLvoOnLugUVCZM/RTUZ0/ag8oiHp+hipfjdgmzohTbUkFwD47IC0VZCydiBOvTpM5BsvCUpxoTZN8YxS3/OVzHvseInxfKgpnmypIxbSMmOIOSTJ/r1yUwAgJUEmiR48REDaHXQcjKMANl6Xr7+Ay1Eb2DWHq6/hyfmEcVewuM4EHk1jqewWnQ8zc7YLRbrXpRK40zVdtjnSHEpc1ndKKxPGgqVh/Bqe+ydYdZ+YTobuG2Q8OHdEpFfkYtwt4C0JUUUAqjmUqvMgnWDYd7l+a6g3U9QSY4p1JIusfLctfb+SBeO2liHLlGvjTADoTNrf2m2kJWF6n+4hVICyWzDuqPS8H7LZJAeICXmRKtdlUOfNRdzIybvFig4SKoEWUKGxpZZQu3AlT3Uv53mnZ8xEUd5AxnsBH/Wgjk3a3dJGvTZNLdus8+Y4q1NrYm3u+PJxh2HZAUe9clMORq0C9arUCet3mcS/TmpBno2g871W0e0NVXIgAThjgnAnJtI4ptgb4egwAbTIGK8ZgJ0R5ZoRmGnBCBXLNnhQPi1ahm1Ia3e+w+R+HSvXVon1ZtwhLHWdlD19/rQyx8W4Llfs5/YQdrodFKp/rongtNbyU9b+XceWOyN8eW4YqB53GwHaJh8SxhGdY92Ld0/S74NQc9ZrURLVtE9L3nXSqAsMhceMGmUSFO2g6i2vPTehRlZAjcAj0rao2Lxi9smYUCs/YBG6WL7U85qW9w5I3sfsCt5xRUgu+c/vAxqZad63uT5QS9wcAfLnGJv+Sn7wNu+o5vjrd7SS7ADW0Ce9CakVUn49qVUorgUQ17JnFsI68bqJzPzPEPciqTo9zXcE0tB8V2wOPq6NrX22UAjExfu2CGwN8bO0kV9fq4EcPkNFuMxRUBEy+/cYa8Q7j8/Do+ga1dWBsWs19+HIQ4xr+46uYHTZX2ApmHQ5V8Qj+/b33fFo18JDWIu8rFXzNHvMpWjH2ka79sWoKUePPAnB5bmskOgSlCeGVKgig+TXaM4E50L5/kYIEm3bGHRt74DeW6QmbW23wU39rkv2N9TvufS/tVYHDe9gDW0B1jVMfJ46qRNYQ3aB6nDFvedGj6rdU+0Sa2J3PkbNd8NSGlHBRED0mCKE9P86jGcXz811We+fVqmWk/v+7fefK6IdjTGlmVPSVOXZM1Q5BP9Mc137HQJqKgt1XYqvg0vNl3q7PwkqJ67dDx1t9+du9g0afexQ5zVQz8H2nqHvgWxPBlAR2nSFe3wIO9UOivQWtZrgDjuKYi8pVAMtFRD/AabbIBj2BcN1A3inoMy0SievAIc4VanWJm3TcFBK0+sCgBOvpGNMLihXoX43lKNiEXFaJC1N9ghswiqBnDVKyicJ+cG+alJkLf9sO6XmBWmpqzUezEf2Kr323srK+LjXSiZPT/gGQEC60KuH/uBEN+DtUbka26MKZR131ntGReKkpJD3xzxjOJoowuJcA2tOqF+kuWbZUg6HdFIRpAwtm+3EtEVEPe2LnfIghLQaaMIYrxnt2ZMKy13IKPvF+CcSB7KY8JucHXSj3SmQs4M+b5DGXKGXohmkO5WyNyqCI6jwpFW7dIc5SnrTUcbkfkVKQvabKbguHrXkYxVe4/0x+AXJohopZBUOKSodACjStNLPyapB3Owgok5UkXOV4O0K8oOGGPQS6phkfKWyyxiuGZG6qveDot+bLnQqYW+OqlhjPHeekpdiTxjlYEQ6zhoJJgGXpCkVskPaxjMd2nMYv4eyrDsHbMJtRWtg/Wdih3E4u/ZvAnUuqGd1ShonQp2UhESMPhfMpgNQaE3zZLsfFBVp/s2bBXppsf5dr5uzaq9kqmnJYuW5tK2tGuDNznpWgUR7Lo/SXScJnSBvWeUcgNUBW+m7iWYNujekkxwKws4lKDNNtaR5qukVgYqCbRfQgIDy87zqQEln3A3bR/ygyPM6X8KpnhkfyapkXCgw0pOW7o3XV/Twd00dcdHHqLShWDPdkUbNKm2vh1KeE5CB7oKiDzyVyoU4StZ0U/8sO2x8BanPDxuPBNAI/W5ApR+Sor/B2TMF1ijpNrSjO7I16amJlaIencs4zJSXlwaAhKJKEKKfJUcyfD2xSut39/UWxOkaTpOi6LHLXfSie/9Rr2kZP6AZgcZ4hac78bzFNUXqqRN3Ip2rtEooR73u49A5x3NXs+UQTOPtshaseSWlO0iUBFjmWslq1XfpSNe8y9jn44Ti/CDjPUUafzQtGb+GF3oIFC2GNdJMUPHPq7RT7aCEN+aVF1LL8NbytmyT3zdTj25sI/E8fRCjJgC8KV+SdRGwhpm+lh82VAIJodQI6D2tFSCILvQyMS/e0kjiUa5F3JULot8rzX243DIAddAKhYKiRwPV40adnENa87bDPFJqvGU/uOEpBc+L+1i0kZRQIDRewgvoMwYi4qWzQBO9WYdku06IuDmCIPocJAiIVhEVWr9fu59oA+4pF19AQFQHkaA6Bu08svdL3lDSNw3RPDl7HhaozfuajcbVXmNFmYMb0a3oc7eHsH5386dQreTwd+dzzrkmXvXg1/OI1++leceBfASi5HNM4B2NA9nx274kehSbk56mkkIhPS8t+7/UuQtLk0CwhnSII2AMiJX0ekVQiMKh/o4TWD0qbHvxXGpd1nnqzgighNmcec1JKnLlLa8YX6XtyxNIj80F8vdhh1aMs83LQPYADUoioPD5imii520I1vvxSOhMuGT+mqKrOTFKfEVQqyq617wHm3cha29rKNRKvYWHITpCqMJiQDxHqErb2iIheAfvZPo4UdLv782f0f/N156J/UUDTxvPQBndHCFhJb76fcKe1UucA61wnpLYWAyOLtsY2H7PXvln74wsDR9nhhjC4/eYTGW1IXA7r8vXHXea+mJD4QEN1GilhHbfi2A8Dxka8rohlk7yjTnl09wlBICgDICAssi1bYvvhb4f+n5BCAmF4IX4WdI1Zewr1SG6lJfiVXxwfk6WSsC198VWKOKNE9OC6lwxpCw+zzovsHr4lO2ldsodFCgrelJAy6xqsC5n35A3aZnQXzAG9UBrTy0TlcqHkHIpphoxemtv9Kw5eSBq3qOTpZfi+eE7EtAxhqeYEA9DNyUXi7NUhkwY5SmD5vOP7HoJkfsEoDXu5rlrm24JzgINFD/PFzPykba6F5Oa1werjoIvpu5iBlvVgbP7kUx8rpBWxwDRBI2mRTU3YAt/TFpxYo5LkKmMPBXjYJOynB1qI8KtEoc/bRWDP6GiaO5k7g9aSWViSdFfCYYYAaFF4whV3bCbev6pMuXTYVd5GmN1cPrzOmY+hzRKURZ9f8HebSAiBN4fo6W7TLQSqqZg7NAfUjxXkARt82BHkawRJZrNPBa0O5/bTdVUE1WSRa7Jy7aZgC0OPkxoj8yTCqBZV2mX8/c5QCvSCGZvBLvs/6JRcrXNU4o5BoNGWC4AFhsaoN/j3KzjFKqeZA4UDxlsPZv83zAol6mM6qDAYWl3bAXh3AAqO08Ja43+LrVMgp3JCugZ02xNz4TQ54JJN17WKLA1FgqdFOe/RO8g+3fq2ZxdHR/fgOnITgnRfcT7poSTNu8iEPBUBW8XVW/eKhqVLqvjIJ1G+cTQypYsyCZe1h3pXKeBal8cc1R8bdBozfJcFyOLVpjYHFN5ep0D6TjHIZJWhv42azQUSE1rwx0nLWPWdiB5rn/vjpKp6eo7LHs2VwzMJpui+cTUV10ziPR6oXJrTkVa6mGXRmB1bRWQk16R4nG7ejNixQpkeiX5JIWsvfbYkWh2V/ZKlXNwNGKrhHYUjQlpCeXF2PucnE+1ampIiiQukyLUVuXDMzahRb3//r5OuS9zFWT0cwpZlL94kus+kFCbCgJW/aXvLxviE1WqxsHr7u8D7fE9zcudo+yZ7e8m5JZ6bXiYj1Ot/ht1rOhYz4SoQAU0w+AinlnPCN7VlitixFveKZg8mNBdzCr1/4AifmllDSYnjLQz2LUTyk7Rpof/F0qyp1rqngYrAzSISRK09LezA06gm7RAYVNzElTAzTbOVYq6cSJEqiDQl1UOpUfPqVHRDSwtSFECI2mJ9T7xzTbYzlbJIe0eachJMZIlLbVvxehNmkjUARopdAzInWWPdGzici8xscsOr6Ejel9aWuZaL5QFUgRIVA9jhxGN/CdJIKVTTY0mqgoOxNh0CwV0Y+nZRLbs8z4OA0F6JT6S9WtBllDURLESPke4PFIFYqMVC6+9OWRUPFkJtu4CUEQJCHqKm/RcIccOVYPCDh1AN8HiMvstZ8eJq7miM3rf9kXxb1hDJLw0PWTk/brZDmNHfLr6uy697RHeWvM4e35Llsf8BmBpAusn5Tll29j9/eh3o3ZGtt+XpFyR2PBWWaPQLdbNfWGEO3fm/A9zSMkQPL9fSs49sc2ZRG/fnVgAMjZy8fGS9D7Zn1W0p8+V8uqe7slQhGSaR1DH2MpKEkwk6KggJ3lIDoojMkSyprPSOkiBuFpk7U0iQeqUUBKIpIjeZcKgYmTN6G6NdRTW/pQk4M61NwjdPNU1agcMT/UA4r4GGrru0DSYqxVxAtQqmQIgUa3eafl4BSZ8ZoRcX3tJojggmQy9a6Q4wld8Hhii6uiGNDCIOlwc/WCYDOW1/ZVWuqbcMdPKRH8uW3oe4F3yfcQ6HqG0at/PvWhM6v2QfK8iddxVhA1AR+GQ+zngej9lS9Nd45Z6VWVL021UrLqLUFF0wNYvEB3Jl8nQFCUCl05fmHhbE6rvUYNa1D2UbA7ZfhLNVf3FGuGa/fdtvXjTPz9DylQAqW0ApBPIokNqzx/bb9jQfjI0W0xOIQQK26akjJoat/sdtyXKn4d9iZYMHkTxorPv0f2qbNnZc5V2JTkVZwAAIJxJREFUqhEUbfes3miyvGw+UY8+xHVsMMteZZcLCfKhPrqywO2CJKpq6ZB4oQphAWuRep4rjyS+h6ES6oVqL5qGcOSyxGlpCrfuGFnlSj5JTcWK3hB5s7tpQYh5CSoiwxQ8Gc1Xk1bttNVCxl1A74qsptdhyodUXL/D2P+LhDTXe82HWXsO+WlvMCEVhXgjmoT+LHcl7lG/2yI0k0UGdPF3FzXCoe0xIMnuOFlFlA31ssKOtZMnNNpgxCEcXZuzbSSuHOxOphO4rFGe9kLR6CBK/kz2Wias3Bag/n4nkfsWQ0coy1r5pPKAUFERh4R3RquYsTFhjXS85blvnjRtxswJ1v6fP5s10+OJDxCq02AOt0d2yQXoCBUJSrqBuhqmIzORQ06iHJdJMcTRcs+TgnzYtLT3MTNuiD6vRp2ee05ZkE0nJXUM8p2xkCKB/pxL1XiRpasX03pJupmLt10m1mYLl0gw6waknrHdDfHzSS7ocllzUDLVvj71OtKkdeqfAn1n0gQd3t4CBHXeqW7waUm15DQzsgvmmVMsuc5rGhOQEYc2FWBy3jgsMKRiCYy7dlDOWrExRysQO7gqsuq4JeO4aDUMRVNA/6ymL4A0pxCHDOfUEJW80P1IS3YRgZ50AtkZtZncnvKcQgW1GVayJoGeSuSp6kxJrxUv/VFVaQWwJm3fVkEl15OxZ+be7nfKWnVi94ykc5CnEu1ItFWJzsnuWPfsvCItxTbHXKt26h5X9gr6QzINJFG9FkKktbzv0lp62VSRadQGgTxVLkZ3QpU76Hsl2ed9/ZvkQgQy7ZrfLo2DgGhOKe4AADr/ehNuE616pGJO6qzoeO8MitwIajrN07TbJSpWeVaUW2KaNiA70+xduJIvep9PqlotnZ5BwzVjqJ2L9VNKx1ZhalWqnpW4WjvVCIrnxgCLMCaMcQ81BzbRqEA89eDcB4PmAGj5mssiC4G9dt1bhTfcA4fI2fqwcE9VS4A4GPfq5dvmLxKdJVV1FPGZNnpnI6u5CBAAyFzJmcU8eD7uq9PlmQtr9pc84jKSlCMiATkPRhDbKWBDnTBhiDtgWQm+0njzOsa2obncPiu5j5bWfddJvD1jmPe6iLJ5FqyhjTdGdBntNBJoniCDjV8nGPdq5C8T0caHtrBlqiJKHjE6lErLtNb4jwRVRnm0w9wRolWqkvnu+DkfYyIWYemC4r0R6BFRFnv/JRsUOemsnNA2dU+NtXloQ9OEUFVfswCDRm0yK/Fv4iWsWYLQTWOKXh6StRxXG0pSVQtOCEdJphwN53hMEW2hYyBI3hL/HjwX2yA9FQMiYKtArEO4CEWpPoA1XRthCueOFhTrhAtFeiRSdJm1IaITUCccXZ4BQ20YmloRK4UmwcgZw6LDwJ05EZfHVIkEkzzqtG+cmI54zfm4krWcE3187cFDJNVHEoQgWulI38Wopcaq2gvQwrgRTi4lqKT5yloijAjeQEjl2zUd/Ri3ZU2LpkwVJUgjosRX55ZEF1qeqgq2PwJP6oEmue4zVCqS4uJcfs1h17klFuwstY2IWEM+EDTF5YeqCfK5Irae7BWJkYlUhWtC7Xq8yFVsLFFtXGiOT1T9GZJQtjVFlY9ULt0DN7amnNyrY6alzxUFoaUjnjD0lrQtypTBE0vbWSpLRcjMoZoi3oP+hSqKUHwfM+KtB4kJKsBmzoQM9uyC2mSRdH9CZ3ojnTXO9DNgUkyKoaL6KATZ8ZpyUSRsmXUP3x0jeIr1PM+QCWM48HfAwUfiIYM6qbwg8klNygkxTlo0IMyiQpFTtoIGk1hoHAtpgipV4NX3iYnKd8iOyizwlt6HiDlqzle8SjvVCEr0iQBMsl69TncgAooyaDaiyoTQGPCIGkAtvyRBWqlGgDLZffVbns7IQpLVq6UsoGlpSHUeVSEi52inDV1ILgseZbs2gSiEzkgRIpeEHqg2d3InwLgBwbUZKXojhMSwj0GxCM+cLwDRR8SRpTQtSLMReXdAmo2qc2IEL5qVSCn5AZ+WtdSZOo5qFB+TIL961G4bLRgWoVk02TOwMyrSY46Tl+iF9P6ENW9qmxlIG/h5RB7NHu15g9chiiCRc0SmjORpK3bngeN78tw2HScH2+HUWponTfH1eh1yThJXISZv5hbkM+PsSLZePHZdj4ry3BtWWjTVoH8hyFaaZxS7dye/NvooGK35XqEQgYvxyJUrEKJ5juoYbyqZBHismS2OBotRxgx9Lm26ZlG771+sPBORWqqdkkllOwJg45E6CZ2UiOostZNIdUtkmdcqeErzd0dHXEF25Lql9an9JC7jobBtfyIq8OapJLF3QM1zotPGm5hyRd4GCnI0jajl8j4HRutdQ43jQbIu2JYQqrFly6JzI+TylNeFBW3OehM8dwC0iWmddx51hzMQKcQYQBsQvXev+Al5dUOAPfgQ6yGzpg9lFnvTAGu6WtOlbYUHBLGXOaLjRFQP4AJJSAgeju87YCgHr3euh83lEdaHDJFSTwPiPrySk2esnK39Ebyl45pGBHck+RooiM6/fsCvpUlF9z/f3yjrWQHAxgiBkIRsQa/7i6feA321ce1ngyGXFPec574XSEWQVnoepKkhdw0B1R0g3jHUxRRkNSiyMXedJNuXIYaEE7S5qe9LWfdnX4/RTsDPEkGcARAdbxffVAQv1b3Cgym7RjR7vEo71QhKWpIG6b54fZMl1B4hyaNSBMxdk6hNu/IkwCIFyiKdYHRPuWTL5XHlf0zUGxcnOzlBxCJ2SQw6zKFqyFu162ZaJH33xv1IJwl8dkDp9fMYKNjjHi0pCdEckkLq4XZSRYUmurmtReDWPA5HWi48XjPGgSVj0myKj10xL7gkpPs68JlhXe+CBNgegYsmpb5TMM64lhhfVLEhMS/cveTYzJKg7BrBVxB5WhrSutqnoTHSGQqxXaOEekACdNJpRD4Q0FkkZFyeYI6bYySjwrp4sIfsjYogOaJj1/WO2OOOOXA+Z1aNwwdotDIR0MUeNAApIcim/l2wiMtTYlI0nSJF7308W2FTsfJy3rJywE60wZnLeFvK0YX2gkDLBCQGzvca5Vgqi4akAnzLrATvpNGUEFUOShZ11i726I6SHowLJbrxgZZae3M1KRbNERlZF9bpN0WUmAY9UGhFKFk0zcfW+K9oE74yEvhij7Q36O+Pph/RFRSrRKOBgC11MoYLU8x3FkgziVTnQxkLYZYHbM1Waw0BOytBBlAF3UKkrc45d37GMWEs6nzKmPQct3Jv6kTvd2ENQSfWIHS08elQFXWJAr3iGYOGpOvY0b1B8/1poSW1sOoH7oFcDAVxMvyWgJaGhswY+UJWXkOxChqTo/dqHLKDzZ2TfKzfTYUw7vAaEdLT0NLpIUsMbesxFeO/IbhhZOssrYxv5ETMYtyPQbkRKpqoqE/ZqWhwGqk2nHTuQ0I0nwNBif+jppXGfRvfow6pKBhLx11Nn5esaMZEgsfnRQhsHAzpGLwNTbtsG1psDlMadDzceR8P9NBPcxNfNN6YQNeVF1OkFWHM2pohH+ZI0UWLDJv/wgnjngogimja3jlaPFh6lTRoKCUBF3sVwzNHgr0xogULUpRwPR5YgrJQFcRLiP0Ctg6xyvpvfqYBSEdZ96oErWTMAiqWtklJidleRm5l5zxJRgfwwEnPVDrJcU4OexwggAxJ3+lxpyCA75uEaIyLk4ddzmt2qhGUSC37nx7hAzVHZxFOjYhpLQqQZvMLCMrJia706V9kXr9HI5E68v8aUpY2uLNNw4WAMiI6CPlh0pRHNmn76BmzsijKy/wMkSGLTHSD0KjFGwy2z02sOhRayWERzNYYz6q8Gc29khOgDH7rTmwMmvEVodqwThT1yNsWVYtpBvgEbvkTPh4J0fOHOwSUCEZtSOWRIvx3pDb0Ers/i/qiKZePe5bgmQANlGlljmQRnCMM7fd6JAvBGnQZ4wTUfLbB2HmpUY42Q0SMQ9wLNTwVv0df3NMSn492571GG8Hh8aitQcBAhno1c94VHdf6Lzky53PB5e2l/jzZ3K0cAESlBoDagdp/x9YNYL64zxdHyoBaVh3/Sbw3GVNEmuT37+lEO9iVfK7/0TIFGhINDx/GuqQVOy3fJFmK50okWXdKPMVTbJ4UK3+OSiZ3Ouw+qSivoz4bKpnZ/h4cLaHgpETU78si9hGbN75PQf90Mmg0IDSUzFVTXTTL372XDyd3xu0deHkysaErFtULoZYBU0V0PBUlxjkhcxjiWcf6rgIhtvXpjfrSiHWRRkKgPU48r33AmnfjezRsX3aHG4h0kquSOpFXOrtG061ee7IhUB9tPIgqoMmo7wSoaV9HmpoUerznpChLtgZ6KFrBlNyB8+uSISSE6J9GdpC351TsFYCqeRtXCJ1xyLyJbCcVKQXM4fH9xMdV6vq2dZoMqWgbAea2ud9Y3w8xjMCO6uhRw7WxcyTGyiuEnJhtWjSBwk24zv+gDEhoeq3tr49gpxpBGXcMbs2AEEfDJkzQ1MoDtMxR0+7ldNHYzJtJLXPwNdIyqbfnh20v6kkzlFS0zOjvSxhnOhG7o4xxz7zPJJqDy5qySSMqwc1SUmXPhH4sJSNZwPdPgIloCAWT17f7BzTvzBPz1JNG27RVIPNk4k3Gx7DcpnTKbQAT8kh6xjw4geyN6jlP1RlqtVzESneHPQYtclRTeMM+3h2UF3GcIX2C7A2We6Y1Mlc+36EcKPlXPCVlfBAhASXA28y71oz+LunvLHI4EDAvPM0T+IxG92QtzTFl4CRryqUXiFguPrRbbDOZjeCnMHDc6bvZHZWTMuXmvoD+wYzh+qGmx5wo6xEE0CzUjOFAo7z+k73yBwpMErxEfpg6aOQm0DRgSaAHJ5D9Ucmj5th5q3Zsj6BddSRlzKCTDrI9hmPFjdMjIZXO4UiBqQp/FQKLlRAHFKyRHlvFyeoM4uActwya9gPJ2w6UFAeJDHoPnkLy1zacKVG67WmcEJqy1AZvMTDvIFNtlCZJIALk7RHluANvF2R3gs+s0OeCFdf2AQyCN/trEZBJKpiaBnzbDLAnDh6KW27SPJdqoiTTTCGScATZEavjTs+qWQGSjaFVOWGBWplh70CmHOMn2+tOCHd6gPNMLMUDnV92wKUlgayjendBo3QaCemBXlFDRlSVsEnQk/j7paj4cUkFGqozkQZCmUjsVfnIKge12ELRzWhOp4hJSZZCsiApnygq441FiSkQN5pbFcu0SjqUmcrT5yWBdxEHZF5RDbAHQjqcAKT8wHSYdeyFMGYtHy67DElkQY4d2kzo7+8w7BdtM2C8ljLTvTCfJOUYWrDiJcPjXpOiWBJKToaK6TM4hyZZI1kVrLQKInu3ZWaibz0DY9Yy5REo01pGLFkROeeRAKgcFIHuQwzQzB1WVGdwmSDbAC/12pJF+W4JkX6ipd3rqjojvDsi0kODIdoi4D6hu9CpHoxoilOyznFaJnQXE0a7B96S6lQLtBgFGrjQUYp5ynschGKGFnuUnGKPSoZoi+1HAC5Xe38YO5UOilhoX8Y50oLrBrxMoJMEbohK6ATkVRhLK3WjUfkSSQA2x2ZRJyUtEjiVmhLyzce7Ch93wIUMEdbvupjAiSFFJ71PcO3bYN8JjigYvRGJmKPsluYA7zDABTTvouMsgDh0hAWyMk+UBIkKypLBk1EJaF451Nl9j3qI8DyDs2qkcDcoAZgsdTBvOmgC1cNeEGTUTScdq4qm0KB6IUf6XZxX4JNS5avt+5TJPoIKR8qHoEQwLI3oKVxRm8arJhQloTrJd7LSzqDHGTxVlVg6yTq+NELmfahDesM7yfburAcQ9StQAsqqV0enH9QZIABQZ5XmGXKYwGeWodQKl7DmBjnKuth4UVB6dQzzhQQUVSHlIjoPOgaN+lwy73SzS4MKlB1OwBPl98iiUzjC2P5CA1KnBFKed+rIplGVKQtB2LhTJ1nfjwCUShUNc6RmsPffRO2eGlR0aoQsxnVeVBYQaZm63rMFACcdRIqOUWFQ0QoonpdAobgfQasOPB9BXELaW6CkUh5Vj0VRiALqi+7DhZD7Al5MlQd1MqLwCAwFWCywwgp8ssDiaMBwvIIQ4/iwYDheYTEbQWnEeLzE2K1QTpYYpiuc2M9HWWI8XqLrRhwdsv4OBswnI4bjVfzJA2HACjxfgHlAWRTImBVFcUTVNE8k2d7Btp6FQSe9lRdTIEMiRX9GsJYSNZokUxZW/SEda84Ai9Ru6iPCqWS2Q2JFukcYIRUDocDesVX08QmBtwBO5sgslQTJI4EnBTzPKLkE6scnHbgvkSpOI8CkpaCyTMCSwKyVMUrCt9SeCJhcIylVvRcnXU4k0AVJAiwz0gCw9Y2heYbMCUwc5NN8lHQcctF0RD8gZAhOss6xkATgWKNyMWuAepyC+8Wk1SlyrKkLOJfHsgwazOlQp2Pdy2Vk0GKEDAAPHOuMpwwZxXqnEXhR7NzodE/uRtC8sxQHgbsxAk8U+8KBYpxSHsDzvgYVnVT0nRkYC3iVkU468HRVe5q5jIWn8J0oXThSbpIEMC0gPVcyJJvDsuyUZ5IBzgIZdN1LtrV9lMAWTOhZYnu6QDV/SB3ifKL7LS0IvBiiyAJFVbCZip6hxEDbi4x1TvN8sXaOP5yRXM2nnmD27//+73j2s5/9eN/Gxja2sY1tbGMb+/9h//Vf/4XP/uzPftjPnEoE5ZprrgEA3HPPPTg4OHic7+aJbRcvXsTTnvY0/Nd//Rf29/cf79t5QttmrK7ONuN09bYZq6u3zVhdvZ3msRIRHB4e4qabbnrEz55KByUlhfkODg5O3ct5vGx/f38zVldpm7G6OtuM09XbZqyu3jZjdfV2WsfqaoGFU13Fs7GNbWxjG9vYxj4zbeOgbGxjG9vYxja2sSecnUoHZTqd4g1veAOm0+njfStPeNuM1dXbZqyuzjbjdPW2Gaurt81YXb09WcbqVFbxbGxjG9vYxja2sc9sO5UIysY2trGNbWxjG/vMto2DsrGNbWxjG9vYxp5wtnFQNraxjW1sYxvb2BPONg7Kxja2sY1tbGMbe8LZxkHZ2MY2trGNbWxjTzg7lQ7Kb/zGb+BzPudzsLW1hVtuuQV///d//3jf0mNqP//zPw8iWvvvuc99bvx8sVjgta99LZ7ylKdgd3cX3/Zt34ZPfvKTa9e455578PVf//XY3t7GU5/6VLz+9a/HOI6P9aM86vZXf/VX+IZv+AbcdNNNICK89a1vXfu5iODnfu7ncOONN2I2m+HWW2/Fv/3bv6195oEHHsArX/lK7O/v48yZM/i+7/s+HB0drX3mIx/5CL76q78aW1tbeNrTnoZf/uVf/nQ/2qNqjzRO3/3d333ZHHvZy1629pknwzgBwBvf+EZ86Zd+Kfb29vDUpz4V3/zN34y77rpr7TOP1pq77bbb8MVf/MWYTqd4znOegze96U2f7sd7VO1qxuprvuZrLptbP/ADP7D2mc/0sfqt3/otvOAFLwgl2HPnzuEd73hH/Hwzn8zklNmb3/xmmUwm8ru/+7vyT//0T/LqV79azpw5I5/85Ccf71t7zOwNb3iDfMEXfIF84hOfiP/+93//N37+Az/wA/K0pz1N3v3ud8sHPvAB+fIv/3L5iq/4ivj5OI7yvOc9T2699Vb50Ic+JG9/+9vl2muvlZ/6qZ96PB7nUbW3v/3t8jM/8zPyJ3/yJwJA3vKWt6z9/Jd+6Zfk4OBA3vrWt8qHP/xh+cZv/EZ55jOfKfP5PD7zspe9TF74whfK3/3d38lf//Vfy3Oe8xz5ju/4jvj5hQsX5Prrr5dXvvKVcuedd8of/MEfyGw2k9/+7d9+rB7z/9keaZxe9apXycte9rK1OfbAAw+sfebJME4iIi996Uvl937v9+TOO++UO+64Q77u675Onv70p8vR0VF85tFYc//+7/8u29vb8iM/8iPy0Y9+VH79139dcs7yzne+8zF93v8Xu5qx+j//5//Iq1/96rW5deHChfj5k2Gs/vRP/1T+/M//XP71X/9V7rrrLvnpn/5p6fte7rzzThHZzCe3U+egfNmXfZm89rWvjf8vpchNN90kb3zjGx/Hu3ps7Q1veIO88IUvvOLPzp8/L33fyx/90R/Fv/3zP/+zAJDbb79dRPRwSinJvffeG5/5rd/6Ldnf35flcvlpvffH0i49eJlZbrjhBvmVX/mV+Lfz58/LdDqVP/iDPxARkY9+9KMCQP7hH/4hPvOOd7xDiEj+53/+R0REfvM3f1POnj27NlY/8RM/ITfffPOn+Yk+PfZQDso3fdM3PeTvPBnHye1Tn/qUAJD3ve99IvLorbkf//Efly/4gi9Y+65XvOIV8tKXvvTT/UifNrt0rETUQfmhH/qhh/ydJ+tYnT17Vn7nd35nM58aO1UpntVqhQ9+8IO49dZb499SSrj11ltx++23P4539tjbv/3bv+Gmm27Cs571LLzyla/EPffcAwD44Ac/iGEY1sbouc99Lp7+9KfHGN1+++14/vOfj+uvvz4+89KXvhQXL17EP/3TPz22D/IY2t1334177713bWwODg5wyy23rI3NmTNn8CVf8iXxmVtvvRUpJbz//e+Pz7z4xS/GZDKJz7z0pS/FXXfdhQcffPAxeppPv91222146lOfiptvvhmvec1rcP/998fPnszjdOHCBQC1q/qjteZuv/32tWv4Z07z3nbpWLn9/u//Pq699lo873nPw0/91E/h5OQkfvZkG6tSCt785jfj+PgY586d28ynxk5VN+P77rsPpZS1lwIA119/Pf7lX/7lcbqrx95uueUWvOlNb8LNN9+MT3ziE/iFX/gFfPVXfzXuvPNO3HvvvZhMJjhz5sza71x//fW49957AQD33nvvFcfQf/aZav5sV3r2dmye+tSnrv286zpcc801a5955jOfedk1/Gdnz579tNz/Y2kve9nL8K3f+q145jOfiY9//OP46Z/+abz85S/H7bffjpzzk3acmBk//MM/jK/8yq/E8573PAB41NbcQ33m4sWLmM/nmM1mn45H+rTZlcYKAL7zO78Tz3jGM3DTTTfhIx/5CH7iJ34Cd911F/7kT/4EwJNnrP7xH/8R586dw2KxwO7uLt7ylrfg8z//83HHHXds5pPZqXJQNqb28pe/PP7+ghe8ALfccgue8Yxn4A//8A9PxaTb2BPfvv3bvz3+/vznPx8veMEL8OxnPxu33XYbXvKSlzyOd/b42mtf+1rceeed+Ju/+ZvH+1ae8PZQY/X93//98ffnP//5uPHGG/GSl7wEH//4x/HsZz/7sb7Nx81uvvlm3HHHHbhw4QL++I//GK961avwvve97/G+rSeUnaoUz7XXXouc82Vs5k9+8pO44YYbHqe7evztzJkz+LzP+zx87GMfww033IDVaoXz58+vfaYdoxtuuOGKY+g/+0w1f7aHmz833HADPvWpT639fBxHPPDAA0/q8XvWs56Fa6+9Fh/72McAPDnH6XWvex3+7M/+DO9973vx2Z/92fHvj9aae6jP7O/vn7rA46HG6kp2yy23AMDa3HoyjNVkMsFznvMcvOhFL8Ib3/hGvPCFL8Sv/dqvbeZTY6fKQZlMJnjRi16Ed7/73fFvzIx3v/vdOHfu3ON4Z4+vHR0d4eMf/zhuvPFGvOhFL0Lf92tjdNddd+Gee+6JMTp37hz+8R//ce2Aede73oX9/X18/ud//mN+/4+VPfOZz8QNN9ywNjYXL17E+9///rWxOX/+PD74wQ/GZ97znveAmWMjPXfuHP7qr/4KwzDEZ971rnfh5ptvPpVpi6ux//7v/8b999+PG2+8EcCTa5xEBK973evwlre8Be95z3suS1s9Wmvu3Llza9fwz5ymve2RxupKdscddwDA2tx6MozVpcbMWC6Xm/nU2uPN0v2/tTe/+c0ynU7lTW96k3z0ox+V7//+75czZ86ssZk/0+1Hf/RH5bbbbpO7775b/vZv/1ZuvfVWufbaa+VTn/qUiGiJ2tOf/nR5z3veIx/4wAfk3Llzcu7cufh9L1H72q/9Wrnjjjvkne98p1x33XWfEWXGh4eH8qEPfUg+9KEPCQD51V/9VfnQhz4k//mf/ykiWmZ85swZedvb3iYf+chH5Ju+6ZuuWGb8RV/0RfL+979f/uZv/kY+93M/d6189vz583L99dfLd33Xd8mdd94pb37zm2V7e/tUlc8+3DgdHh7Kj/3Yj8ntt98ud999t/zlX/6lfPEXf7F87ud+riwWi7jGk2GcRERe85rXyMHBgdx2221rpbEnJyfxmUdjzXlZ6Otf/3r553/+Z/mN3/iNU1cW+khj9bGPfUx+8Rd/UT7wgQ/I3XffLW9729vkWc96lrz4xS+OazwZxuonf/In5X3ve5/cfffd8pGPfER+8id/UohI/uIv/kJENvPJ7dQ5KCIiv/7rvy5Pf/rTZTKZyJd92ZfJ3/3d3z3et/SY2ite8Qq58cYbZTKZyGd91mfJK17xCvnYxz4WP5/P5/KDP/iDcvbsWdne3pZv+ZZvkU984hNr1/iP//gPefnLXy6z2UyuvfZa+dEf/VEZhuGxfpRH3d773vcKgMv+e9WrXiUiWmr8sz/7s3L99dfLdDqVl7zkJXLXXXetXeP++++X7/iO75Dd3V3Z39+X7/me75HDw8O1z3z4wx+Wr/qqr5LpdCqf9VmfJb/0S7/0WD3io2IPN04nJyfytV/7tXLddddJ3/fyjGc8Q1796ldfFgQ8GcZJRK44TgDk937v9+Izj9aae+973ytf+IVfKJPJRJ71rGetfcdpsEcaq3vuuUde/OIXyzXXXCPT6VSe85znyOtf//o1HRSRz/yx+t7v/V55xjOeIZPJRK677jp5yUteEs6JyGY+uZGIyGOH12xsYxvb2MY2trGNPbKdKg7Kxja2sY1tbGMbe3LYxkHZ2MY2trGNbWxjTzjbOCgb29jGNraxjW3sCWcbB2VjG9vYxja2sY094WzjoGxsYxvb2MY2trEnnG0clI1tbGMb29jGNvaEs42DsrGNbWxjG9vYxp5wtnFQNraxjW1sYxvb2BPONg7Kxja2sY1tbGMbe8LZxkHZ2MY2trGNbWxjTzjbOCgb29jGNraxjW3sCWf/H0/M0x8Pvt30AAAAAElFTkSuQmCC", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.imshow(np.log(A), aspect='auto')" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "1254b7d4-3d54-4f5b-8fca-8cb7e1236fe2", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "U, S, VT = np.linalg.svd(A, full_matrices = False)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "941311fb-be5a-4563-a709-9b9ed8108a54", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "((200, 200), (200,), (200, 3317))" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "U.shape, S.shape, VT.shape" + ] + }, + { + "cell_type": "markdown", + "id": "5e6bc254-65a6-42fc-ab17-08cfce54c61b", + "metadata": {}, + "source": [ + "I just took random vectors with positive values to test this" + ] + }, + { + "cell_type": "code", + "execution_count": 154, + "id": "d0b1a59d-ec68-4e94-8755-4a1115db9717", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "# just some x vector\n", + "x = np.sin(np.arange(3317) / 300) ** 2" + ] + }, + { + "cell_type": "code", + "execution_count": 155, + "id": "709b0c71-bdf2-421e-b4aa-4275e03d23e8", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[<matplotlib.lines.Line2D at 0x1428dddb0>]" + ] + }, + "execution_count": 155, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(x)" + ] + }, + { + "cell_type": "code", + "execution_count": 156, + "id": "28c193d4-6f46-444e-ae2f-7d25277d02e5", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[<matplotlib.lines.Line2D at 0x142969060>]" + ] + }, + "execution_count": 156, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "b = A @ x\n", + "plt.plot(b)" + ] + }, + { + "cell_type": "markdown", + "id": "48edef09-e9c2-400b-8629-f9757f3924e0", + "metadata": {}, + "source": [ + "Inversion without regularization" + ] + }, + { + "cell_type": "code", + "execution_count": 159, + "id": "d5abd638-8148-4c58-bb8b-8389e33874ee", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[<matplotlib.lines.Line2D at 0x142acd900>]" + ] + }, + "execution_count": 159, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x_back = np.linalg.pinv(A) @ b\n", + "\n", + "plt.plot(x_back)\n", + "plt.plot(x, \"r:\")" + ] + }, + { + "cell_type": "markdown", + "id": "84d2e0f3-95f6-4129-9aaa-8204710c2918", + "metadata": {}, + "source": [ + "Tikhonov inversion:\n", + "\n", + "Solve $\\|Ax - b \\|^2 + \\lambda \\|x\\|^2 \\to \\min$\n", + "\n", + "Solution is achieved by solving\n", + "\n", + "$ \\left( A^T A + \\lambda I \\right) x = A^T b$" + ] + }, + { + "cell_type": "code", + "execution_count": 164, + "id": "48cce7c9-f0f8-48ac-b3e5-aeda0c9a17df", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "la = 1\n", + "x_reg = np.linalg.solve(A.T @ A + la * np.eye(A.shape[1]), A.T @ b)\n", + "plt.plot(x_reg)\n", + "plt.plot(x, \"r:\");" + ] + }, + { + "cell_type": "markdown", + "id": "aeea3259-3ad7-4ce5-8f03-a05bd3f383fd", + "metadata": {}, + "source": [ + "Tikhonov variant: contrain the differentiated x to reduce oscillations.\n", + "\n", + "\n", + "Solve $\\|Ax - b \\|^2 + \\lambda \\|Dx\\|^2 \\to \\min$\n", + "\n", + "With $D$ discrete diffential operator.\n", + "\n", + "Solution is achieved by solving\n", + "\n", + "$ \\left( A^T A + \\lambda D^T D \\right) x = A^T b$" + ] + }, + { + "cell_type": "code", + "execution_count": 165, + "id": "323fcd9d-6553-4b55-9ccf-7ae267f02975", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "D = -np.eye(A.shape[1])\n", + "D = np.roll(D, 1, axis=1)\n", + "D[-1, 0 ] = 0\n", + "np.fill_diagonal(D, 1.0)" + ] + }, + { + "cell_type": "code", + "execution_count": 166, + "id": "1475e7b5-1b01-472c-9f4b-4d0cb0dd4801", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1., -1., -0., ..., -0., -0., -0.],\n", + " [-0., 1., -1., ..., -0., -0., -0.],\n", + " [-0., -0., 1., ..., -0., -0., -0.],\n", + " ...,\n", + " [-0., -0., -0., ..., 1., -1., -0.],\n", + " [-0., -0., -0., ..., -0., 1., -1.],\n", + " [ 0., -0., -0., ..., -0., -0., 1.]])" + ] + }, + "execution_count": 166, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "D" + ] + }, + { + "cell_type": "code", + "execution_count": 167, + "id": "e74b18ee-d738-4e51-8a93-90757319949c", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[<matplotlib.lines.Line2D at 0x142cf4eb0>]" + ] + }, + "execution_count": 167, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x_reg = np.linalg.solve(A.T @ A + 0.01 * D.T @ D, A.T @ (b ))\n", + "plt.plot(x_reg)\n", + "plt.plot(x, 'r:')" + ] + }, + { + "cell_type": "markdown", + "id": "0c93ede5-8c74-48fc-9830-3412f9ceaf97", + "metadata": {}, + "source": [ + "So, looks like this work. Lets add some fake noise:" + ] + }, + { + "cell_type": "code", + "execution_count": 176, + "id": "a5f0188b-67ea-4736-95cf-c6397b7ba1f8", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "level = 0.05\n", + "\n", + "# add random numbers in range -level/2..+level/2, so this is uniformly distributed noise\n", + "b_with_noise = b + level * (np.random.rand(*b.shape) - 0.5)\n", + "plt.plot(b)\n", + "plt.plot(b_with_noise);" + ] + }, + { + "cell_type": "code", + "execution_count": 169, + "id": "05aae461-aa0a-443c-9af7-8233443a74b7", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[<matplotlib.lines.Line2D at 0x142d3ff10>]" + ] + }, + "execution_count": 169, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(b_with_noise- b)" + ] + }, + { + "cell_type": "code", + "execution_count": 174, + "id": "c7b612fd-a3de-4798-9312-f1c9e5106edb", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x_reg = np.linalg.solve(A.T @ A + 0.2 * D.T @ D, A.T @ (b_with_noise ))\n", + "plt.plot(x_reg)\n", + "plt.plot(x, ':');" + ] + }, + { + "cell_type": "code", + "execution_count": 266, + "id": "dc2e1c45-1d0c-4a68-b790-0ccee69dbe2c", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.5308732987627114\n" + ] + }, + { + "data": { + "text/plain": [ + "[<matplotlib.lines.Line2D at 0x2d20e4670>]" + ] + }, + "execution_count": 266, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from scipy.signal import savgol_filter\n", + "\n", + "weights = savgol_filter(np.sum(A, axis=0) + 1 * 1.5, 351, 1)\n", + "weights = savgol_filter(weights, 151, 1)\n", + "\n", + "print(np.min(weights))\n", + "\n", + "plt.semilogy(weights)" + ] + }, + { + "cell_type": "code", + "execution_count": 267, + "id": "8f66a5a6-0995-48d3-aae4-31597e1f3427", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plt.plot(weights)\n", + "W = np.diag(weights)\n", + "Winv = np.diag(1 / np.diag(W))\n", + "\n", + "W.shape, Winv.shape\n", + "\n", + "\n", + "x_reg = W @ np.linalg.solve(W.T @ A.T @ A @ W + 0.5 * W.T @ D.T @ D @ W, W.T @ A.T @ (b_with_noise ))\n", + "\n", + "plt.figure()\n", + "plt.plot(x_reg, label = 'unweighted')\n", + "plt.plot(x, ':', label='exact');\n", + "\n", + "x_reg_weighted = np.linalg.solve(A.T @ A + 0.5 * W.T @ D.T @ D @ W, A.T @ (b_with_noise ))\n", + "plt.plot(x_reg_weighted, label='weighted')\n", + "\n", + "plt.legend();" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7de836c9-8281-47fc-b224-0494b7c91daf", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": 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